Makate, Nonthiya; Rattanajak, Patchateeya; Mongkhol, Boonyarat Bi-periodic \(k\)-Pell sequence. (English) Zbl 07748103 Int. J. Math. Comput. Sci. 19, No. 1, 103-109 (2024). MSC: 11B37 11B39 11B83 PDF BibTeX XML Cite \textit{N. Makate} et al., Int. J. Math. Comput. Sci. 19, No. 1, 103--109 (2024; Zbl 07748103) Full Text: Link
Dişkaya, Orhan; Menken, Hamza On the quinary Fibonacci-Padovan sequences. (English) Zbl 07774041 Creat. Math. Inform. 32, No. 1, 41-48 (2023). MSC: 11B39 05A15 PDF BibTeX XML Cite \textit{O. Dişkaya} and \textit{H. Menken}, Creat. Math. Inform. 32, No. 1, 41--48 (2023; Zbl 07774041) Full Text: DOI
Edjeou, Bilizimbéyé; Faye, Bernadette Pell and Pell-Lucas numbers as difference of two repdigits. (English) Zbl 07773228 Afr. Mat. 34, No. 4, Paper No. 70, 13 p. (2023). MSC: 11J86 11D61 11B39 11D45 PDF BibTeX XML Cite \textit{B. Edjeou} and \textit{B. Faye}, Afr. Mat. 34, No. 4, Paper No. 70, 13 p. (2023; Zbl 07773228) Full Text: DOI arXiv
Gökçe, Fadime Compactness of matrix operators on absolute Fibonacci series spaces. (English) Zbl 07773226 Afr. Mat. 34, No. 4, Paper No. 68, 13 p. (2023). MSC: 40C05 11B39 40D25 40F05 46A45 PDF BibTeX XML Cite \textit{F. Gökçe}, Afr. Mat. 34, No. 4, Paper No. 68, 13 p. (2023; Zbl 07773226) Full Text: DOI
Sobolewski, Bartosz; Ulas, Maciej Solutions of certain meta-Fibonacci recurrences. (English) Zbl 07768666 Acta Arith. 209, 269-289 (2023). MSC: 11B37 11B39 11B83 11B85 PDF BibTeX XML Cite \textit{B. Sobolewski} and \textit{M. Ulas}, Acta Arith. 209, 269--289 (2023; Zbl 07768666) Full Text: DOI arXiv
Hayder, Hashim R. On the solutions of \(2^x + 2^y = z^2\) in the Fibonacci and Lucas numbers. (English) Zbl 07765813 J. Prime Res. Math. 19, No. 1, 27-33 (2023). MSC: 11D61 11B39 PDF BibTeX XML Cite \textit{H. R. Hayder}, J. Prime Res. Math. 19, No. 1, 27--33 (2023; Zbl 07765813) Full Text: Link
Harrington, Joshua; Jones, Lenny A note on generalised Wall-Sun-Sun primes. (English) Zbl 07764664 Bull. Aust. Math. Soc. 108, No. 3, 373-378 (2023). MSC: 11B39 11A41 PDF BibTeX XML Cite \textit{J. Harrington} and \textit{L. Jones}, Bull. Aust. Math. Soc. 108, No. 3, 373--378 (2023; Zbl 07764664) Full Text: DOI
Hsia, Liang-Chung; Li, Hua-Chieh; Sun, Wei-Liang Certain diagonal equations and conflict-avoiding codes of prime lengths. (English) Zbl 07761946 Finite Fields Appl. 92, Article ID 102298, 21 p. (2023). MSC: 11T24 94B25 PDF BibTeX XML Cite \textit{L.-C. Hsia} et al., Finite Fields Appl. 92, Article ID 102298, 21 p. (2023; Zbl 07761946) Full Text: DOI arXiv
Belaggoun, Nassima; Belbachir, Hacéne On the spectral norms of \(r\)-circulant and geometric circulant matrices with the bi-periodic hyper-Horadam sequence. (English) Zbl 07753899 J. Math. Inequal. 17, No. 3, 867-883 (2023). MSC: 15A60 15B05 15B36 11B39 PDF BibTeX XML Cite \textit{N. Belaggoun} and \textit{H. Belbachir}, J. Math. Inequal. 17, No. 3, 867--883 (2023; Zbl 07753899) Full Text: DOI
Pandey, Ashish Kumar; Sharma, B. K. On inequalities related to a generalized Euler totient function and Lucas sequences. (English) Zbl 07753339 J. Integer Seq. 26, No. 8, Article 23.8.6, 11 p. (2023). MSC: 11A25 11B39 PDF BibTeX XML Cite \textit{A. K. Pandey} and \textit{B. K. Sharma}, J. Integer Seq. 26, No. 8, Article 23.8.6, 11 p. (2023; Zbl 07753339) Full Text: Link
Le, Maohua; Soydan, Gökhan On the ternary purely exponential Diophantine equation \((ak)^x + (bk)^y = ((a + b)k)^z\) for prime powers \(a\) and \(b\). (English) Zbl 07753335 J. Integer Seq. 26, No. 7, Article 23.7.8, 18 p. (2023). MSC: 11D61 11B39 PDF BibTeX XML Cite \textit{M. Le} and \textit{G. Soydan}, J. Integer Seq. 26, No. 7, Article 23.7.8, 18 p. (2023; Zbl 07753335) Full Text: arXiv Link
Liptai, Kálmán; Szalay, László Random inhomogeneous binary recurrences. (English) Zbl 07751557 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 54, 253-263 (2023). MSC: 11B37 05A15 PDF BibTeX XML Cite \textit{K. Liptai} and \textit{L. Szalay}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 54, 253--263 (2023; Zbl 07751557) Full Text: Link
Nikiema, Salifou; Odjoumani, Japhet Lucas generalized numbers in Narayana’s cows sequence. (English) Zbl 07746026 Gulf J. Math. 15, No. 1, 84-92 (2023). MSC: 11D61 11D72 11B39 PDF BibTeX XML Cite \textit{S. Nikiema} and \textit{J. Odjoumani}, Gulf J. Math. 15, No. 1, 84--92 (2023; Zbl 07746026) Full Text: DOI
Atabey, Koray İbrahim; Çınar, Muhammed; Et, Mikail \(q\)-Fibonacci sequence spaces and related matrix transformations. (English) Zbl 07734322 J. Appl. Math. Comput. 69, No. 2, 2135-2154 (2023). MSC: 46A45 46B45 40C05 PDF BibTeX XML Cite \textit{K. İ. Atabey} et al., J. Appl. Math. Comput. 69, No. 2, 2135--2154 (2023; Zbl 07734322) Full Text: DOI
Mbirika, Aba; Schrader, Janee; Spilker, Jürgen Pell and associated pell braid sequences as GCDs of sums of \(k\) consecutive Pell, balancing, and related numbers. (English) Zbl 07732137 J. Integer Seq. 26, No. 6, Article 23.6.4, 24 p. (2023). MSC: 11B39 11A05 PDF BibTeX XML Cite \textit{A. Mbirika} et al., J. Integer Seq. 26, No. 6, Article 23.6.4, 24 p. (2023; Zbl 07732137) Full Text: arXiv Link
Chua, Hongshen On an identity by Bruckman and Good. (English) Zbl 07732135 J. Integer Seq. 26, No. 6, Article 23.6.5, 13 p. (2023). MSC: 11B39 97I30 PDF BibTeX XML Cite \textit{H. Chua}, J. Integer Seq. 26, No. 6, Article 23.6.5, 13 p. (2023; Zbl 07732135) Full Text: Link
Luca, Florian; Ward, Thomas On (almost) realizable subsequences of linearly recurrent sequences. (English) Zbl 07732117 J. Integer Seq. 26, No. 4, Article 23.4.6, 11 p. (2023). MSC: 11B50 11B39 PDF BibTeX XML Cite \textit{F. Luca} and \textit{T. Ward}, J. Integer Seq. 26, No. 4, Article 23.4.6, 11 p. (2023; Zbl 07732117) Full Text: arXiv Link
Cação, Isabel; Malonek, Helmuth R.; Falcão, M. Irene; Tomaz, Graça Intrinsic properties of a non-symmetric number triangle. (English) Zbl 07732116 J. Integer Seq. 26, No. 4, Article 23.4.8, 12 p. (2023). MSC: 11B37 11B83 11B39 05A19 33C05 PDF BibTeX XML Cite \textit{I. Cação} et al., J. Integer Seq. 26, No. 4, Article 23.4.8, 12 p. (2023; Zbl 07732116) Full Text: Link
Açikel, Abdullah; Irmak, Nurettin; Szalay, László The \(k\)-generalized Lucas numbers close to a power of 2. (English) Zbl 07729716 Math. Slovaca 73, No. 4, 871-882 (2023). Reviewer: Clemens Fuchs (Salzburg) MSC: 11J86 11B39 11D75 PDF BibTeX XML Cite \textit{A. Açikel} et al., Math. Slovaca 73, No. 4, 871--882 (2023; Zbl 07729716) Full Text: DOI
Luca, Florian; Zottor, Faith S. On \(Y\)-coordinates of Pell equations which are Fibonacci numbers. (English) Zbl 07716029 Bol. Soc. Mat. Mex., III. Ser. 29, No. 2, Paper No. 49, 43 p. (2023). Reviewer: Mahadi Ddamulira (Kampala) MSC: 11D61 11B39 11D45 PDF BibTeX XML Cite \textit{F. Luca} and \textit{F. S. Zottor}, Bol. Soc. Mat. Mex., III. Ser. 29, No. 2, Paper No. 49, 43 p. (2023; Zbl 07716029) Full Text: DOI
Daşdemir, Ahmet On Horadam-Lucas sequence. (English) Zbl 07710911 J. Indones. Math. Soc. 29, No. 1, 116-124 (2023). MSC: 11B37 11B39 PDF BibTeX XML Cite \textit{A. Daşdemir}, J. Indones. Math. Soc. 29, No. 1, 116--124 (2023; Zbl 07710911) Full Text: arXiv Link
Mangueira, Milena Carolina dos Santos; Vieira, Renata Passos Machado; Alves, Francisco Régis Vieira; Catarino, Paula Maria Machado Cruz The sequence of the hyperbolic \(k\)-Perrin and \(k\)-Leonardo quaternions. (English) Zbl 07708857 J. Math. Ext. 17, No. 4, Paper No. 4, 16 p. (2023). MSC: 11B39 PDF BibTeX XML Cite \textit{M. C. dos S. Mangueira} et al., J. Math. Ext. 17, No. 4, Paper No. 4, 16 p. (2023; Zbl 07708857) Full Text: DOI
Uygun, S.; Akıncı, E. Matrix representation of bi-periodic Pell sequence. (English) Zbl 07708034 J. Mahani Math. Res. Cent. 12, No. 2, 565-583 (2023). MSC: 11B39 11B83 15A24 15B36 PDF BibTeX XML Cite \textit{S. Uygun} and \textit{E. Akıncı}, J. Mahani Math. Res. Cent. 12, No. 2, 565--583 (2023; Zbl 07708034) Full Text: DOI
Deveci, Ö.; Erdağ, Ö.; Güngoz, U. The complex-type cyclic-Fibonacci sequence and its applications. (English) Zbl 07708010 J. Mahani Math. Res. Cent. 12, No. 2, 235-246 (2023). MSC: 11B39 PDF BibTeX XML Cite \textit{Ö. Deveci} et al., J. Mahani Math. Res. Cent. 12, No. 2, 235--246 (2023; Zbl 07708010) Full Text: DOI
Tan, Elif; Ait-Amrane, N. Rosa On a new generalization of Fibonacci hybrid numbers. (English) Zbl 07706214 Indian J. Pure Appl. Math. 54, No. 2, 428-438 (2023). MSC: 11B39 05A15 11B37 97F50 15A63 PDF BibTeX XML Cite \textit{E. Tan} and \textit{N. R. Ait-Amrane}, Indian J. Pure Appl. Math. 54, No. 2, 428--438 (2023; Zbl 07706214) Full Text: DOI arXiv
Li, Xinyu; Kong, Qian; Wang, Xinglin; Shen, Ming Transmission properties in Fibonacci quasi-periodic photonic crystal containing negative-zero-positive index metamaterials. (English) Zbl 1516.74024 Commun. Theor. Phys. 75, No. 3, Article ID 035504, 6 p. (2023). MSC: 74E15 74N05 11B39 PDF BibTeX XML Cite \textit{X. Li} et al., Commun. Theor. Phys. 75, No. 3, Article ID 035504, 6 p. (2023; Zbl 1516.74024) Full Text: DOI
Serrano Holgado, Álvaro; Navas Vicente, Luis Manuel The zeta function of a recurrence sequence of arbitrary degree. (English) Zbl 07699362 Mediterr. J. Math. 20, No. 4, Paper No. 224, 18 p. (2023). Reviewer: Takao Komatsu (Hangzhou) MSC: 11M41 30B50 11B37 11B39 30B40 PDF BibTeX XML Cite \textit{Á. Serrano Holgado} and \textit{L. M. Navas Vicente}, Mediterr. J. Math. 20, No. 4, Paper No. 224, 18 p. (2023; Zbl 07699362) Full Text: DOI arXiv
Robles-Pérez, Aureliano M.; Rosales, José Carlos The extended Frobenius problem for Fibonacci sequences incremented by a Fibonacci number. (English) Zbl 07699360 Mediterr. J. Math. 20, No. 4, Paper No. 222, 12 p. (2023). MSC: 11D07 11B39 11A67 05A17 PDF BibTeX XML Cite \textit{A. M. Robles-Pérez} and \textit{J. C. Rosales}, Mediterr. J. Math. 20, No. 4, Paper No. 222, 12 p. (2023; Zbl 07699360) Full Text: DOI arXiv
Shallit, Jeffrey Note on a Fibonacci parity sequence. (English) Zbl 1518.11008 Cryptogr. Commun. 15, No. 2, 309-315 (2023). MSC: 11A63 11B50 11B85 PDF BibTeX XML Cite \textit{J. Shallit}, Cryptogr. Commun. 15, No. 2, 309--315 (2023; Zbl 1518.11008) Full Text: DOI arXiv
Açikel, Abdullah; Said, Amrouche; Belbachir, Hacene; Irmak, Nurettin On \(k\)-generalized Lucas sequence with its triangle. (English) Zbl 1511.05004 Turk. J. Math. 47, No. 4, 1129-1143 (2023). MSC: 05A10 11B65 11B39 PDF BibTeX XML Cite \textit{A. Açikel} et al., Turk. J. Math. 47, No. 4, 1129--1143 (2023; Zbl 1511.05004) Full Text: DOI
Jha, Abhishek; Sanna, Carlo On the greatest common divisor of \(n\) and the \(n\)th Fibonacci number. II. (English) Zbl 07689482 Can. Math. Bull. 66, No. 2, 617-625 (2023). MSC: 11B39 11A05 11N25 PDF BibTeX XML Cite \textit{A. Jha} and \textit{C. Sanna}, Can. Math. Bull. 66, No. 2, 617--625 (2023; Zbl 07689482) Full Text: DOI arXiv
Shallit, Jeffrey; Shan, Sonja Linghui; Yang, Kai Hsiang Automatic sequences in negative bases and proofs of some conjectures of Shevelev. (English) Zbl 07689051 RAIRO, Theor. Inform. Appl. 57, Paper No. 4, 22 p. (2023). Reviewer: Jean-Paul Allouche (Paris) MSC: 11B85 11A63 68Q45 03D05 68R15 PDF BibTeX XML Cite \textit{J. Shallit} et al., RAIRO, Theor. Inform. Appl. 57, Paper No. 4, 22 p. (2023; Zbl 07689051) Full Text: DOI arXiv
Guritman, Sugi Simple formulations on circulant matrices with alternating Fibonacci. (English) Zbl 1518.15032 Commun. Korean Math. Soc. 38, No. 2, 341-354 (2023). Reviewer: Carlos M. da Fonseca (Safat) MSC: 15B05 15A09 15A15 15A18 11C20 11B39 PDF BibTeX XML Cite \textit{S. Guritman}, Commun. Korean Math. Soc. 38, No. 2, 341--354 (2023; Zbl 1518.15032) Full Text: DOI
Dişkaya, Orhan; Menken, Hamza On the novel generalizations of the Padovan sequence. (English) Zbl 1520.11020 J. Adv. Math. Stud. 16, No. 1, 89-96 (2023). MSC: 11B39 11B83 05A15 PDF BibTeX XML Cite \textit{O. Dişkaya} and \textit{H. Menken}, J. Adv. Math. Stud. 16, No. 1, 89--96 (2023; Zbl 1520.11020) Full Text: Link
Kanado, Yuya; Saito, Kota A system of certain linear Diophantine equations on analogs of squares. (English) Zbl 07683782 Acta Arith. 207, No. 3, 251-277 (2023). MSC: 11D04 11J71 11B39 PDF BibTeX XML Cite \textit{Y. Kanado} and \textit{K. Saito}, Acta Arith. 207, No. 3, 251--277 (2023; Zbl 07683782) Full Text: DOI arXiv
Esi, A.; Subramanian, N.; Ozdemir, M. K. Chlodowsky type \((\lambda, q)\)-Bernstein Stancu operators of Pascal rough triple sequences. (English) Zbl 07680447 J. Mahani Math. Res. Cent. 12, No. 1, 289-310 (2023). MSC: 40A35 40J05 40G05 41A36 PDF BibTeX XML Cite \textit{A. Esi} et al., J. Mahani Math. Res. Cent. 12, No. 1, 289--310 (2023; Zbl 07680447) Full Text: DOI
Khani, Mohsen; Zarei, Afshin The additive structure of integers with the lower Wythoff sequence. (English) Zbl 07680021 Arch. Math. Logic 62, No. 1-2, 225-237 (2023). MSC: 03C10 03C57 03C98 11B39 PDF BibTeX XML Cite \textit{M. Khani} and \textit{A. Zarei}, Arch. Math. Logic 62, No. 1--2, 225--237 (2023; Zbl 07680021) Full Text: DOI arXiv
Tan, Elif; Dağli, Mehmet; Belkhir, Amine Bi-periodic incomplete Horadam numbers. (English) Zbl 07677944 Turk. J. Math. 47, No. 2, 554-564 (2023). MSC: 11B39 11B83 05A15 PDF BibTeX XML Cite \textit{E. Tan} et al., Turk. J. Math. 47, No. 2, 554--564 (2023; Zbl 07677944) Full Text: DOI
Khan, Vakeel A.; Alshlool, Kamal M. A. S.; Abdullah, Sameera A. A. A study of Fibonacci difference \(\mathcal I\)-convergent sequence spaces. (English) Zbl 07677237 Mohiuddine, S. A. (ed.) et al., Sequence space theory with applications. Boca Raton, FL: CRC Press. 114-138 (2023). MSC: 46A45 40A35 PDF BibTeX XML Cite \textit{V. A. Khan} et al., in: Sequence space theory with applications. Boca Raton, FL: CRC Press. 114--138 (2023; Zbl 07677237) Full Text: DOI
Tan, Elif; Leung, Ho-Hon On Leonardo \(p\)-numbers. (English) Zbl 1518.11019 Integers 23, Paper A7, 11 p. (2023). Reviewer: Mohammad K. Azarian (Evansville) MSC: 11B39 PDF BibTeX XML Cite \textit{E. Tan} and \textit{H.-H. Leung}, Integers 23, Paper A7, 11 p. (2023; Zbl 1518.11019) Full Text: Link
Belbachir, Hacéne; Bouyakoub, Abdelkader; Krim, Fariza On recurrences in generalized arithmetic triangle. (English) Zbl 1519.11006 Math. Slovaca 73, No. 2, 305-334 (2023). Reviewer: Uğur Duran (Iskenderun) MSC: 11B37 05A10 11B65 11B39 05A15 PDF BibTeX XML Cite \textit{H. Belbachir} et al., Math. Slovaca 73, No. 2, 305--334 (2023; Zbl 1519.11006) Full Text: DOI
Chakraborty, Kalyan; Hoque, Azizul Lehmer sequence approach to the divisibility of class numbers of imaginary quadratic fields. (English) Zbl 1511.11092 Ramanujan J. 60, No. 4, 913-923 (2023). MSC: 11R29 11B39 11E04 PDF BibTeX XML Cite \textit{K. Chakraborty} and \textit{A. Hoque}, Ramanujan J. 60, No. 4, 913--923 (2023; Zbl 1511.11092) Full Text: DOI arXiv
Meher, N. K.; Rout, S. S. Cullen numbers in sums of terms of recurrence sequence. (English) Zbl 07673399 Result. Math. 78, No. 3, Paper No. 102, 14 p. (2023). MSC: 11B39 11J86 PDF BibTeX XML Cite \textit{N. K. Meher} and \textit{S. S. Rout}, Result. Math. 78, No. 3, Paper No. 102, 14 p. (2023; Zbl 07673399) Full Text: DOI arXiv
Ebadi, Moosa; Haghkhah, Sareh Investigation of the properties of a new class of interpolation polynomials based on Fibonacci numbers. (English) Zbl 07665266 Sahand Commun. Math. Anal. 20, No. 2, 133-146 (2023). MSC: 11B39 PDF BibTeX XML Cite \textit{M. Ebadi} and \textit{S. Haghkhah}, Sahand Commun. Math. Anal. 20, No. 2, 133--146 (2023; Zbl 07665266) Full Text: DOI
Vieira, Renata Passos Machado; Mangueira, Milena Carolina dos Santos; Alves, Francisco Régis Vieira; Catarino, Paula Maria Machado Cruz The generalization of Gaussians and Leonardo’s octonions. (English) Zbl 1510.11063 Ann. Math. Sil. 37, No. 1, 117-137 (2023). MSC: 11B39 PDF BibTeX XML Cite \textit{R. P. M. Vieira} et al., Ann. Math. Sil. 37, No. 1, 117--137 (2023; Zbl 1510.11063) Full Text: DOI
Nimbran, Amrik Singh; Levrie, Paul Patterns in continued fractions of square roots. (English) Zbl 1514.11010 J. Integer Seq. 26, No. 2, Article 23.2.8, 33 p. (2023). Reviewer: Mykhaylo Pahirya (Uzhhorod) MSC: 11A55 11Y65 PDF BibTeX XML Cite \textit{A. S. Nimbran} and \textit{P. Levrie}, J. Integer Seq. 26, No. 2, Article 23.2.8, 33 p. (2023; Zbl 1514.11010) Full Text: Link
Alp, Yasemin; Kocer, E. Gokcen Sequence characterization of almost-Riordan arrays. (English) Zbl 1509.05016 Linear Algebra Appl. 664, 1-23 (2023). MSC: 05A15 11B39 15B36 15B99 PDF BibTeX XML Cite \textit{Y. Alp} and \textit{E. G. Kocer}, Linear Algebra Appl. 664, 1--23 (2023; Zbl 1509.05016) Full Text: DOI
Mehraban, E.; Hashemi, M. Fibonacci length and the generalized order \(k\)-Pell sequences of the 2-generator \(p\)-groups of nilpotency class 2. (English) Zbl 1512.20074 J. Algebra Appl. 22, No. 3, Article ID 2350061, 24 p. (2023). Reviewer: Anitha Thillaisundaram (Lund) MSC: 20D60 20F05 11B39 PDF BibTeX XML Cite \textit{E. Mehraban} and \textit{M. Hashemi}, J. Algebra Appl. 22, No. 3, Article ID 2350061, 24 p. (2023; Zbl 1512.20074) Full Text: DOI
Hashim, Hayder R.; Luca, Florian; Shelash, Hayder B.; Shukur, Ali A. Generalized Lucas graphs. (English) Zbl 07657500 Afr. Mat. 34, No. 1, Paper No. 10, 15 p. (2023). MSC: 05C07 05C10 05C30 05C69 11B39 11Z05 PDF BibTeX XML Cite \textit{H. R. Hashim} et al., Afr. Mat. 34, No. 1, Paper No. 10, 15 p. (2023; Zbl 07657500) Full Text: DOI
Yadav, Sumit Kumar; Laha, Arnab Kumar Coalescence in branching processes with age dependent structure in population. (English) Zbl 1506.60100 Stoch. Models 39, No. 1, 104-117 (2023). MSC: 60J90 60J80 PDF BibTeX XML Cite \textit{S. K. Yadav} and \textit{A. K. Laha}, Stoch. Models 39, No. 1, 104--117 (2023; Zbl 1506.60100) Full Text: DOI
Faye, Bernadette; Edjeou, Bilizimbéyé On the problem of Pillai with Pell numbers, Pell-Lucas numbers and powers of \(3\). (English) Zbl 1511.11036 Int. J. Number Theory 19, No. 1, 71-92 (2023). Reviewer: Mahadi Ddamulira (Kampala) MSC: 11D61 11B39 11D45 11J86 PDF BibTeX XML Cite \textit{B. Faye} and \textit{B. Edjeou}, Int. J. Number Theory 19, No. 1, 71--92 (2023; Zbl 1511.11036) Full Text: DOI
Akande, A. P.; Schneider, Robert Semi-modular forms from Fibonacci-Eisenstein series. (English) Zbl 1515.11039 Ramanujan J. 60, No. 1, 59-68 (2023). Reviewer: Noburo Ishii (Kyōto) MSC: 11F12 11B39 11F03 PDF BibTeX XML Cite \textit{A. P. Akande} and \textit{R. Schneider}, Ramanujan J. 60, No. 1, 59--68 (2023; Zbl 1515.11039) Full Text: DOI arXiv
Cerda-Morales, Gamaliel On bicomplex third-order Jacobsthal numbers. (English) Zbl 1510.11039 Complex Var. Elliptic Equ. 68, No. 1, 44-56 (2023). MSC: 11B39 PDF BibTeX XML Cite \textit{G. Cerda-Morales}, Complex Var. Elliptic Equ. 68, No. 1, 44--56 (2023; Zbl 1510.11039) Full Text: DOI
Du, Tingting; Wu, Zhengang On the reciprocal products of generalized Fibonacci sequences. (English) Zbl 07772775 J. Inequal. Appl. 2022, Paper No. 154, 11 p. (2022). MSC: 11-XX 40-XX PDF BibTeX XML Cite \textit{T. Du} and \textit{Z. Wu}, J. Inequal. Appl. 2022, Paper No. 154, 11 p. (2022; Zbl 07772775) Full Text: DOI
Bejines, C.; Navara, M. The Fibonacci sequence in the description of maximal discrete Archimedean t-norms. (English) Zbl 1522.03240 Fuzzy Sets Syst. 451, 94-112 (2022). MSC: 03E72 11B39 PDF BibTeX XML Cite \textit{C. Bejines} and \textit{M. Navara}, Fuzzy Sets Syst. 451, 94--112 (2022; Zbl 1522.03240) Full Text: DOI
Giyasi, Azar K.; Mikhaĭlov, Il’ya Petrovich; Chubarikov, Vladimir Nikolaevich On an expansion real numbers on some sequences. (Russian. English summary) Zbl 07732891 Chebyshevskiĭ Sb. 23, No. 3(84), 50-60 (2022). MSC: 11A67 PDF BibTeX XML Cite \textit{A. K. Giyasi} et al., Chebyshevskiĭ Sb. 23, No. 3(84), 50--60 (2022; Zbl 07732891) Full Text: DOI MNR
Lee, S. P.; Ooi, C. H. Raymond; Wang, I. T. Fibonacci sequence and golden section in musical spaces. (English) Zbl 07701578 Symmetry Cult. Sci. 33, No. 2, 137-154 (2022). MSC: 00A65 11B39 PDF BibTeX XML Cite \textit{S. P. Lee} et al., Symmetry Cult. Sci. 33, No. 2, 137--154 (2022; Zbl 07701578) Full Text: DOI
Pethő, Attila; Szalay, László Upper bound on the solution to \(F_n^{(2\kappa)}=\pm F_m^{(2\kappa)}\) with negative subscripts. (English) Zbl 07689912 Rev. Colomb. Mat. 56, No. 2, 179-187 (2022). MSC: 11D61 11B39 PDF BibTeX XML Cite \textit{A. Pethő} and \textit{L. Szalay}, Rev. Colomb. Mat. 56, No. 2, 179--187 (2022; Zbl 07689912) Full Text: DOI
Numata, Yasuhide; Yamanouchi, Yuiko On the action of the toggle group of the Dynkin diagram of type \(A\). (English) Zbl 1512.05402 Algebr. Comb. 5, No. 1, 149-161 (2022). MSC: 05E16 20B20 20F55 PDF BibTeX XML Cite \textit{Y. Numata} and \textit{Y. Yamanouchi}, Algebr. Comb. 5, No. 1, 149--161 (2022; Zbl 1512.05402) Full Text: DOI arXiv
Northshield, Sam Some generalizations of a formula of Reznick. (English) Zbl 07676370 Fibonacci Q. 60, No. 5, Spec. Iss., 299-315 (2022). MSC: 11B37 11B83 PDF BibTeX XML Cite \textit{S. Northshield}, Fibonacci Q. 60, No. 5, 299--315 (2022; Zbl 07676370) Full Text: Link
Martinez, Thomas C.; Miller, Steven J.; Mizgerd, Clayton; Murphy, Jack; Sun, Chenyang Generalizing Zeckendorf’s theorem to homogeneous linear recurrences. II. (English) Zbl 1520.11011 Fibonacci Q. 60, No. 5, Spec. Iss., 231-254 (2022). MSC: 11A67 11B39 PDF BibTeX XML Cite \textit{T. C. Martinez} et al., Fibonacci Q. 60, No. 5, 231--254 (2022; Zbl 1520.11011) Full Text: arXiv Link
Martinez, Thomas C.; Miller, Steven J.; Mizgerd, Clayton; Sun, Chenyang Generalizing Zeckendorf’s theorem to homogeneous linear recurrences. I. (English) Zbl 1517.11005 Fibonacci Q. 60, No. 5, Spec. Iss., 222-230 (2022). MSC: 11A67 11B39 PDF BibTeX XML Cite \textit{T. C. Martinez} et al., Fibonacci Q. 60, No. 5, 222--230 (2022; Zbl 1517.11005) Full Text: arXiv Link
Kuloğlu, Bahar; Özkan, Engin; Shannon, Anthony G. The Narayana sequence in finite groups. (English) Zbl 1517.11017 Fibonacci Q. 60, No. 5, Spec. Iss., 212-221 (2022). MSC: 11B39 11B50 11B75 PDF BibTeX XML Cite \textit{B. Kuloğlu} et al., Fibonacci Q. 60, No. 5, 212--221 (2022; Zbl 1517.11017) Full Text: Link
Hendel, Russell Jay A system of four simultaneous recursions: generalization of the Ledin-Shannon-Ollerton identity. (English) Zbl 1517.11011 Fibonacci Q. 60, No. 5, Spec. Iss., 172-180 (2022). MSC: 11B39 11B83 PDF BibTeX XML Cite \textit{R. J. Hendel}, Fibonacci Q. 60, No. 5, 172--180 (2022; Zbl 1517.11011) Full Text: arXiv Link
Pongsriiam, Prapanpong Combinatorial structure and sumsets associated with Beatty sequences generated by powers of the golden ratio. (English) Zbl 1514.11015 Electron Res. Arch. 30, No. 7, 2385-2405 (2022). Reviewer: Sávio Ribas (Belo Horizonte) MSC: 11B13 11B39 11B83 PDF BibTeX XML Cite \textit{P. Pongsriiam}, Electron Res. Arch. 30, No. 7, 2385--2405 (2022; Zbl 1514.11015) Full Text: DOI
Deveci, Ömür; Shannon, Anthony G.; Karaduman, Erdal The complex-type Fibonacci \(p\)-sequences. (English) Zbl 07674997 An. Univ. Craiova, Ser. Mat. Inf. 49, No. 2, 260-269 (2022). MSC: 11B39 15A15 PDF BibTeX XML Cite \textit{Ö. Deveci} et al., An. Univ. Craiova, Ser. Mat. Inf. 49, No. 2, 260--269 (2022; Zbl 07674997) Full Text: DOI
Karlova, O. O.; Katyrynchuk, K. M.; Protsenko, V. I. On periodicity of recurrent sequences of the second and the third order. (Ukrainian. English summary) Zbl 07673176 Bukovyn. Mat. Zh. 10, No. 2, 111-137 (2022). MSC: 11B37 11B39 PDF BibTeX XML Cite \textit{O. O. Karlova} et al., Bukovyn. Mat. Zh. 10, No. 2, 111--137 (2022; Zbl 07673176) Full Text: DOI
He, Tian-Xiao; Shannon, Anthony G.; Shiue, Peter J.-S. Some identities of Gaussian binomial coefficients. (English) Zbl 07670585 Ann. Math. Inform. 55, 76-87 (2022). MSC: 05A15 11B83 05A05 05A19 PDF BibTeX XML Cite \textit{T.-X. He} et al., Ann. Math. Inform. 55, 76--87 (2022; Zbl 07670585) Full Text: DOI
Frontczak, Robert; Goy, Taras; Shattuck, Mark Fibonacci-Lucas-Pell-Jacobsthal relations. (English) Zbl 07670583 Ann. Math. Inform. 55, 28-48 (2022). MSC: 11B39 PDF BibTeX XML Cite \textit{R. Frontczak} et al., Ann. Math. Inform. 55, 28--48 (2022; Zbl 07670583) Full Text: DOI
Adegoke, K.; Frontczak, R.; Goy, T. P. Additional Fibonacci-Bernoulli relations. (English) Zbl 1511.11015 Res. Math. 30, No. 2, 3-17 (2022). Reviewer: Juan Luis Varona (Logroño) MSC: 11B39 11B68 PDF BibTeX XML Cite \textit{K. Adegoke} et al., Res. Math. 30, No. 2, 3--17 (2022; Zbl 1511.11015) Full Text: DOI arXiv
Adegoke, Kunle; Frontczak, Robert; Goy, Taras Recurrence relations for the squares of the Horadam numbers and some associated consequences. (English) Zbl 07655916 Tatra Mt. Math. Publ. 82, 17-28 (2022). MSC: 11B39 PDF BibTeX XML Cite \textit{K. Adegoke} et al., Tatra Mt. Math. Publ. 82, 17--28 (2022; Zbl 07655916) Full Text: DOI
Soykan, Yüksel Sums and partial sums of Horadam sequences: the sum formulas \(\Sigma^n_{k=0} x^kW_k\) and \(\Sigma^{n+m}_{k=n} x^kW_k\) via generating functions. (English) Zbl 1504.11027 Int. J. Adv. Appl. Math. Mech. 9, No. 3, 33-40 (2022). MSC: 11B37 11B39 11B83 PDF BibTeX XML Cite \textit{Y. Soykan}, Int. J. Adv. Appl. Math. Mech. 9, No. 3, 33--40 (2022; Zbl 1504.11027) Full Text: Link
Soykan, Yüksel; Taşdemir, Erkan; Göcen, Melih Binomial transform of the generalized third-order Jacobsthal sequence. (English) Zbl 1504.11036 Asian-Eur. J. Math. 15, No. 12, Article ID 2250224, 28 p. (2022). MSC: 11B39 11B83 PDF BibTeX XML Cite \textit{Y. Soykan} et al., Asian-Eur. J. Math. 15, No. 12, Article ID 2250224, 28 p. (2022; Zbl 1504.11036) Full Text: DOI
Kuloğlu, Bahar; Özkan, Engin Hyperbolic functions obtained from \(k\)-Jacobsthal sequences. (English) Zbl 07648929 Asian-Eur. J. Math. 15, No. 9, Article ID 2250178, 14 p. (2022). MSC: 11B39 PDF BibTeX XML Cite \textit{B. Kuloğlu} and \textit{E. Özkan}, Asian-Eur. J. Math. 15, No. 9, Article ID 2250178, 14 p. (2022; Zbl 07648929) Full Text: DOI
Kainen, Paul C. Fibonacci in Somos-5 by complexification. (English) Zbl 1508.11022 Fibonacci Q. 60, No. 4, 362-364 (2022). MSC: 11B39 11Y55 PDF BibTeX XML Cite \textit{P. C. Kainen}, Fibonacci Q. 60, No. 4, 362--364 (2022; Zbl 1508.11022) Full Text: Link
Dutta, Utkal Keshari; Ray, Prasanta Kumar Analytic properties of the Apostol-Vu multiple Lucas \(L\)-functions. (English) Zbl 1513.11155 Jordan J. Math. Stat. 15, No. 4A, 895-909 (2022). MSC: 11M32 11B39 30D30 PDF BibTeX XML Cite \textit{U. K. Dutta} and \textit{P. K. Ray}, Jordan J. Math. Stat. 15, No. 4A, 895--909 (2022; Zbl 1513.11155)
Bai, Shiwei; Niu, Min The visibility graph of \(n\)-bonacci sequence. (English) Zbl 1507.68233 Chaos Solitons Fractals 163, Article ID 112500, 8 p. (2022). MSC: 68R15 05A05 05C82 11B39 37M10 PDF BibTeX XML Cite \textit{S. Bai} and \textit{M. Niu}, Chaos Solitons Fractals 163, Article ID 112500, 8 p. (2022; Zbl 1507.68233) Full Text: DOI
Ishmukhametov, Sh. T.; Rubtsova, R. G.; Khusnutdinov, R. R. A new primality test for natural integers. (English. Russian original) Zbl 1514.11081 Russ. Math. 66, No. 2, 70-73 (2022); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2022, No. 2, 83-87 (2022). Reviewer: Juan Tena Ayuso (Valladolid) MSC: 11Y11 11A41 11B39 11Y16 PDF BibTeX XML Cite \textit{Sh. T. Ishmukhametov} et al., Russ. Math. 66, No. 2, 70--73 (2022; Zbl 1514.11081); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2022, No. 2, 83--87 (2022) Full Text: DOI
Cohen, Joel E. Variance functions of asymptotically exponentially increasing integer sequences go beyond Taylor’s Law. (English) Zbl 1512.11021 J. Integer Seq. 25, No. 9, Article 22.9.3, 13 p. (2022). MSC: 11B39 11B37 PDF BibTeX XML Cite \textit{J. E. Cohen}, J. Integer Seq. 25, No. 9, Article 22.9.3, 13 p. (2022; Zbl 1512.11021) Full Text: Link
Panraksa, Chatchawan; Tangboonduangjit, Aram Some divisibility properties concerning Lucas and elliptic divisibility sequences. (English) Zbl 1511.11018 J. Integer Seq. 25, No. 9, Article 22.9.2, 15 p. (2022). Reviewer: Hayder Hashim (Kufa) MSC: 11B39 11B83 PDF BibTeX XML Cite \textit{C. Panraksa} and \textit{A. Tangboonduangjit}, J. Integer Seq. 25, No. 9, Article 22.9.2, 15 p. (2022; Zbl 1511.11018) Full Text: Link
Bayarmagnai, Gombodorj; Delger, Sainjargal On the \(p\)-adic valuations of sums of powers of integers. (English) Zbl 1506.11022 J. Integer Seq. 25, No. 8, Article 22.8.1, 8 p. (2022). MSC: 11B39 11B50 PDF BibTeX XML Cite \textit{G. Bayarmagnai} and \textit{S. Delger}, J. Integer Seq. 25, No. 8, Article 22.8.1, 8 p. (2022; Zbl 1506.11022) Full Text: Link
Bravo, Jhon J.; Herrera, Jose L. Generalized Padovan sequences. (English) Zbl 07639921 Commun. Korean Math. Soc. 37, No. 4, 977-988 (2022). MSC: 11B39 PDF BibTeX XML Cite \textit{J. J. Bravo} and \textit{J. L. Herrera}, Commun. Korean Math. Soc. 37, No. 4, 977--988 (2022; Zbl 07639921) Full Text: DOI
Fox, Nathan Connecting slow solutions to nested recurrences with linear recurrent sequences. (English) Zbl 1506.11021 J. Difference Equ. Appl. 28, No. 11-12, 1458-1491 (2022). Reviewer: Uğur Duran (Iskenderun) MSC: 11B37 11B39 05C05 11Y16 PDF BibTeX XML Cite \textit{N. Fox}, J. Difference Equ. Appl. 28, No. 11--12, 1458--1491 (2022; Zbl 1506.11021) Full Text: DOI arXiv
Rosales, J. C.; Branco, M. B. On the enumeration of the set of elementary numerical semigroups with fixed multiplicity, Frobenius number or genus. (English) Zbl 1513.20069 Kragujevac J. Math. 46, No. 3, 433-442 (2022). MSC: 20M14 05E16 PDF BibTeX XML Cite \textit{J. C. Rosales} and \textit{M. B. Branco}, Kragujevac J. Math. 46, No. 3, 433--442 (2022; Zbl 1513.20069) Full Text: Link
Gong, Longyan; Guo, Xuan; Sun, Jingye; Cheng, Weiwen; Zhao, Shengmei Wave packet spreading with periodic, Fibonacci quasiperiodic, and random nonlinear discrete-time quantum walks. (English) Zbl 1508.81072 Quantum Inf. Process. 21, No. 12, Paper No. 393, 15 p. (2022). MSC: 81P16 81S25 PDF BibTeX XML Cite \textit{L. Gong} et al., Quantum Inf. Process. 21, No. 12, Paper No. 393, 15 p. (2022; Zbl 1508.81072) Full Text: DOI
Bilu, Yuri; Gun, Sanoli; Hong, Haojie Uniform explicit Stewart theorem on prime factors of linear recurrences. (English) Zbl 1520.11017 Acta Arith. 206, No. 3, 223-243 (2022). Reviewer: Florian Luca (Johannesburg) MSC: 11B39 11B37 PDF BibTeX XML Cite \textit{Y. Bilu} et al., Acta Arith. 206, No. 3, 223--243 (2022; Zbl 1520.11017) Full Text: DOI arXiv
Ait-Amrane, N. Rosa; Belbachir, Hacene Bi-periodic \(r\)-Fibonacci sequence and bi-periodic \(r\)-Lucas sequence of type \(s\). (English) Zbl 1513.11033 Hacet. J. Math. Stat. 51, No. 3, 680-699 (2022). MSC: 11B39 11B65 PDF BibTeX XML Cite \textit{N. R. Ait-Amrane} and \textit{H. Belbachir}, Hacet. J. Math. Stat. 51, No. 3, 680--699 (2022; Zbl 1513.11033) Full Text: DOI
Choi, Eunmi \(q\)-coefficient table of negative exponent polynomial with \(q\)-commuting variables. (English) Zbl 1518.11022 Korean J. Math. 30, No. 3, 433-442 (2022). MSC: 11B65 05A30 11B39 16S36 PDF BibTeX XML Cite \textit{E. Choi}, Korean J. Math. 30, No. 3, 433--442 (2022; Zbl 1518.11022) Full Text: DOI
Bhoi, Kisan; Ray, Prasanta Kumar On the \(x\)-coordinates of Pell equations which are Narayana numbers. (English) Zbl 1506.11024 Integers 22, Paper A107, 13 p. (2022). Reviewer: Mahadi Ddamulira (Kampala) MSC: 11B39 11D09 11J86 PDF BibTeX XML Cite \textit{K. Bhoi} and \textit{P. K. Ray}, Integers 22, Paper A107, 13 p. (2022; Zbl 1506.11024) Full Text: Link
Frontczak, R.; Goy, T.; Shattuck, M. Identities relating six members of the Fibonacci family of sequences. (English) Zbl 07627729 Carpathian Math. Publ. 14, No. 1, 6-19 (2022). MSC: 11B39 PDF BibTeX XML Cite \textit{R. Frontczak} et al., Carpathian Math. Publ. 14, No. 1, 6--19 (2022; Zbl 07627729) Full Text: DOI
Adegoke, Kunle; Frontczak, Robert; Goy, Taras Binomial tribonacci sums. (English) Zbl 1513.11032 DML, Discrete Math. Lett. 8, 30-37 (2022). MSC: 11B39 PDF BibTeX XML Cite \textit{K. Adegoke} et al., DML, Discrete Math. Lett. 8, 30--37 (2022; Zbl 1513.11032) Full Text: DOI
Aküzüm, Yeşim; Deveci, Ömür The Hadamard-type \(k\)-step Fibonacci sequences. (English) Zbl 1513.11035 An. Științ. Univ. Al. I. Cuza Iași, Ser. Nouă, Mat. 68, No. 2, 153-165 (2022). MSC: 11B39 11C20 15A15 PDF BibTeX XML Cite \textit{Y. Aküzüm} and \textit{Ö. Deveci}, An. Științ. Univ. Al. I. Cuza Iași, Ser. Nouă, Mat. 68, No. 2, 153--165 (2022; Zbl 1513.11035) Full Text: DOI
Edjeou, Bilizimbéyé; Faye, Bernadette; Gómez, Carlos A.; Luca, Florian On \(Y\)-coordinates of Pell equations which are Lucas numbers. (English) Zbl 1506.11043 Ramanujan J. 59, No. 4, 1091-1136 (2022). Reviewer: Mahadi Ddamulira (Kampala) MSC: 11D61 11B39 11D45 PDF BibTeX XML Cite \textit{B. Edjeou} et al., Ramanujan J. 59, No. 4, 1091--1136 (2022; Zbl 1506.11043) Full Text: DOI
Erdağ, Özgür; Deveci, Ömür On the connections between Padovan numbers and Fibonacci \(p\)-numbers. (English) Zbl 1513.11042 Jordan J. Math. Stat. 15, No. 3A, 507-521 (2022). MSC: 11B39 11C20 15A15 PDF BibTeX XML Cite \textit{Ö. Erdağ} and \textit{Ö. Deveci}, Jordan J. Math. Stat. 15, No. 3A, 507--521 (2022; Zbl 1513.11042)
Walch, Jean-Paul Modeling phyllotaxis: from the inhibition potential to the real plant. (English) Zbl 07614380 J. Theor. Biol. 553, Article ID 111261, 8 p. (2022). MSC: 92-XX PDF BibTeX XML Cite \textit{J.-P. Walch}, J. Theor. Biol. 553, Article ID 111261, 8 p. (2022; Zbl 07614380) Full Text: DOI
Marques, Diego; Trojovský, Pavel On the location of roots of the characteristic polynomial of \((p, q)\)-distance Fibonacci sequences. (English) Zbl 1502.11030 Bull. Braz. Math. Soc. (N.S.) 53, No. 4, 1231-1244 (2022). Reviewer: Mohammad K. Azarian (Evansville) MSC: 11B39 11B37 PDF BibTeX XML Cite \textit{D. Marques} and \textit{P. Trojovský}, Bull. Braz. Math. Soc. (N.S.) 53, No. 4, 1231--1244 (2022; Zbl 1502.11030) Full Text: DOI
Chang, Sungkon The Fibonacci sequence and an elliptic curve. (English. French summary) Zbl 1520.11013 J. Théor. Nombres Bordx. 34, No. 2, 483-495 (2022). Reviewer: Mahadi Ddamulira (Kampala) MSC: 11B37 11B39 11G05 PDF BibTeX XML Cite \textit{S. Chang}, J. Théor. Nombres Bordx. 34, No. 2, 483--495 (2022; Zbl 1520.11013) Full Text: DOI
Alves, Francisco Regis Vieira; Catarino, Paula Maria Machado Cruz The Padovan or Coordonier sequence. (Portuguese. English summary) Zbl 1508.11017 Rev. Bras. Hist. Mat. 22, No. 45, 21-43 (2022). Reviewer: Flávio Ulhoa Coelho (São Paulo) MSC: 11B39 11-03 01A05 PDF BibTeX XML Cite \textit{F. R. V. Alves} and \textit{P. M. M. C. Catarino}, Rev. Bras. Hist. Mat. 22, No. 45, 21--43 (2022; Zbl 1508.11017) Full Text: DOI
Alzer, Horst; Kwong, Man Kam Extension of an inequality for Fibonacci numbers. (English) Zbl 1502.11022 Integers 22, Paper A85, 8 p. (2022). Reviewer: Mohammad K. Azarian (Evansville) MSC: 11B39 PDF BibTeX XML Cite \textit{H. Alzer} and \textit{M. K. Kwong}, Integers 22, Paper A85, 8 p. (2022; Zbl 1502.11022) Full Text: Link
Ma, Shuo; Zhang, Hongmei; Liu, Jianjun; Liu, De Nonlocal transport in Fibonacci superconducting silicene superlattices. (English) Zbl 07600427 Phys. Lett., A 451, Article ID 128415, 9 p. (2022). MSC: 82D55 82D40 81U20 PDF BibTeX XML Cite \textit{S. Ma} et al., Phys. Lett., A 451, Article ID 128415, 9 p. (2022; Zbl 07600427) Full Text: DOI