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 OpenURL
Frontczak, Robert; Prasad, Kalika Balancing polynomials, Fibonacci numbers and some new series for \(\pi\). (English) Zbl 07688495 Mediterr. J. Math. 20, No. 4, Paper No. 207, 18 p. (2023). MSC: 11B37 11B39 65B10 11Y55 PDF BibTeX XML Cite \textit{R. Frontczak} and \textit{K. Prasad}, Mediterr. J. Math. 20, No. 4, Paper No. 207, 18 p. (2023; Zbl 07688495) Full Text: DOI arXiv OpenURL
Xia, Wei; Sun, Zhi-Wei On congruences involving Apéry numbers. (English) Zbl 07688417 Proc. Am. Math. Soc. 151, No. 8, 3305-3315 (2023). MSC: 11B65 11A07 05A10 11B39 PDF BibTeX XML Cite \textit{W. Xia} and \textit{Z.-W. Sun}, Proc. Am. Math. Soc. 151, No. 8, 3305--3315 (2023; Zbl 07688417) Full Text: DOI arXiv OpenURL
Guritman, Sugi Simple formulations on circulant matrices with alternating Fibonacci. (English) Zbl 07688066 Commun. Korean Math. Soc. 38, No. 2, 341-354 (2023). 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 07688066) Full Text: DOI OpenURL
Hong, Junghyun; Lee, Jongmin; Park, Ho Generalizing some Fibonacci-Lucas relations. (English) Zbl 07688038 Commun. Korean Math. Soc. 38, No. 1, 89-96 (2023). MSC: 11B39 PDF BibTeX XML Cite \textit{J. Hong} et al., Commun. Korean Math. Soc. 38, No. 1, 89--96 (2023; Zbl 07688038) Full Text: DOI OpenURL
Adédji, Kouèssi Norbert; Luca, Florian; Togbé, Alain On the solutions of the Diophantine equation \(P_n \pm \frac{a(10^m -1)}{9}=k!\). (English) Zbl 07686983 Eur. J. Math. 9, No. 2, Paper No. 34, 19 p. (2023). MSC: 11B39 11J86 PDF BibTeX XML Cite \textit{K. N. Adédji} et al., Eur. J. Math. 9, No. 2, Paper No. 34, 19 p. (2023; Zbl 07686983) Full Text: DOI OpenURL
Faye, Bernadette; Luca, Florian; Rihane, Salah Eddine; Togbé, Alain The Diophantine equations \(P_n^x+P_{n+1}^y=P_m^x\) or \(P_n^y+P_{n+1}^x=P_m^x\). (English) Zbl 07686519 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 117, No. 2, Paper No. 89, 13 p. (2023). MSC: 11B39 11J86 PDF BibTeX XML Cite \textit{B. Faye} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 117, No. 2, Paper No. 89, 13 p. (2023; Zbl 07686519) Full Text: DOI OpenURL
Dişkaya, Orhan; Menken, Hamza On the novel generalizations of the Padovan sequence. (English) Zbl 07686217 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 07686217) Full Text: Link OpenURL
Bayer, Margaret; Milutinović, Marija Jelić; Vega, Julianne General polygonal line tilings and their matching complexes. (English) Zbl 07686188 Discrete Math. 346, No. 7, Article ID 113428, 12 p. (2023). MSC: 05E45 55P10 11B39 PDF BibTeX XML Cite \textit{M. Bayer} et al., Discrete Math. 346, No. 7, Article ID 113428, 12 p. (2023; Zbl 07686188) Full Text: DOI arXiv OpenURL
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 OpenURL
Creedy, John; Subramanian, S. Exploring a new class of inequality measures and associated value judgements: Gini and Fibonacci-type sequences. (English) Zbl 07683114 Sankhyā, Ser. B 85, No. 1, 110-131 (2023). MSC: 91B15 91B82 11B39 PDF BibTeX XML Cite \textit{J. Creedy} and \textit{S. Subramanian}, Sankhyā, Ser. B 85, No. 1, 110--131 (2023; Zbl 07683114) Full Text: DOI OpenURL
Keskin, Refik; Erduvan, Fatih Repdigits as difference of two Pell or Pell-Lucas numbers. (English) Zbl 07680669 Korean J. Math. 31, No. 1, 63-73 (2023). MSC: 11B39 11J86 11D61 PDF BibTeX XML Cite \textit{R. Keskin} and \textit{F. Erduvan}, Korean J. Math. 31, No. 1, 63--73 (2023; Zbl 07680669) Full Text: DOI OpenURL
Heim, Bernhard; Neuhauser, Markus Variations of central limit theorems and Stirling numbers of the first kind. (English) Zbl 07680487 DML, Discrete Math. Lett. 12, 54-61 (2023). MSC: 05A16 60F05 11B39 PDF BibTeX XML Cite \textit{B. Heim} and \textit{M. Neuhauser}, DML, Discrete Math. Lett. 12, 54--61 (2023; Zbl 07680487) Full Text: DOI arXiv OpenURL
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 OpenURL
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 OpenURL
Alecci, Gessica; Murru, Nadir; Sanna, Carlo Zeckendorf representation of multiplicative inverses modulo a Fibonacci number. (English) Zbl 07676377 Monatsh. Math. 201, No. 1, 1-9 (2023). MSC: 11B39 11A67 11A99 PDF BibTeX XML Cite \textit{G. Alecci} et al., Monatsh. Math. 201, No. 1, 1--9 (2023; Zbl 07676377) Full Text: DOI arXiv OpenURL
Lee, Anthony; Miller, Steven J. Generalizing the German tank problem. (English) Zbl 07675549 PUMP J. Undergrad. Res. 6, 59-95 (2023). MSC: 60B10 60C05 11B39 11B05 65Q30 PDF BibTeX XML Cite \textit{A. Lee} and \textit{S. J. Miller}, PUMP J. Undergrad. Res. 6, 59--95 (2023; Zbl 07675549) Full Text: arXiv Link OpenURL
Alzer, Horst; Kwong, Man Kam Two identities for complex numbers with applications to special sequences and functions. (English) Zbl 07674540 Integers 23, Paper A10, 10 p. (2023). MSC: 11B83 11B39 PDF BibTeX XML Cite \textit{H. Alzer} and \textit{M. K. Kwong}, Integers 23, Paper A10, 10 p. (2023; Zbl 07674540) Full Text: Link OpenURL
Georges, John P.; Mauro, David W.; Wang, Yan Relating Fibonacci numbers to the infinitudes of certain primes. (English) Zbl 07674534 Integers 23, Paper A24, 6 p. (2023). MSC: 11A41 11B39 11A51 PDF BibTeX XML Cite \textit{J. P. Georges} et al., Integers 23, Paper A24, 6 p. (2023; Zbl 07674534) Full Text: Link OpenURL
Belbachir, Hacéne; Bouyakoub, Abdelkader; Krim, Fariza On recurrences in generalized arithmetic triangle. (English) Zbl 07673958 Math. Slovaca 73, No. 2, 305-334 (2023). MSC: 11B37 05A10 11B65 11B39 05A15 PDF BibTeX XML Cite \textit{H. Belbachir} et al., Math. Slovaca 73, No. 2, 305--334 (2023; Zbl 07673958) Full Text: DOI OpenURL
Chakraborty, Kalyan; Hoque, Azizul Lehmer sequence approach to the divisibility of class numbers of imaginary quadratic fields. (English) Zbl 07673420 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 07673420) Full Text: DOI arXiv OpenURL
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 OpenURL
Chu, Wenchang; Kiliç, Emrah Fibonomial and Lucanomial sums through well-poised \(q\)-series. (English) Zbl 07673105 Hacet. J. Math. Stat. 52, No. 1, 62-72 (2023). MSC: 11B39 05A30 33D15 PDF BibTeX XML Cite \textit{W. Chu} and \textit{E. Kiliç}, Hacet. J. Math. Stat. 52, No. 1, 62--72 (2023; Zbl 07673105) Full Text: DOI OpenURL
Hu, Yongzhong; Le, Maohua On the \(X\)-coordinates of Pell equations of the form \(px^2\). (English) Zbl 07672190 Period. Math. Hung. 86, No. 1, 281-288 (2023). MSC: 11B39 PDF BibTeX XML Cite \textit{Y. Hu} and \textit{M. Le}, Period. Math. Hung. 86, No. 1, 281--288 (2023; Zbl 07672190) Full Text: DOI OpenURL
Normenyo, Benedict Vasco; Rihane, Salah Eddine; Togbé, Alain Common terms of \(k\)-pell numbers and Padovan or Perrin numbers. (English) Zbl 07667699 Arab. J. Math. 12, No. 1, 219-232 (2023). MSC: 11B39 11J86 PDF BibTeX XML Cite \textit{B. V. Normenyo} et al., Arab. J. Math. 12, No. 1, 219--232 (2023; Zbl 07667699) Full Text: DOI OpenURL
Park, Jinseo Complete solution of Diophantine pairs induced by some Fibonacci formula. (English) Zbl 07667208 Algebra Colloq. 30, No. 1, 121-132 (2023). MSC: 11B39 11D09 11D45 11B37 11J68 11J86 PDF BibTeX XML Cite \textit{J. Park}, Algebra Colloq. 30, No. 1, 121--132 (2023; Zbl 07667208) Full Text: DOI OpenURL
Merino, Criel The number of quasi-trees in fans and wheels. (English) Zbl 07666323 Electron. J. Comb. 30, No. 1, Research Paper P1.46, 16 p. (2023). MSC: 05C30 05C10 11B39 PDF BibTeX XML Cite \textit{C. Merino}, Electron. J. Comb. 30, No. 1, Research Paper P1.46, 16 p. (2023; Zbl 07666323) Full Text: DOI OpenURL
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 07665196 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 07665196) Full Text: DOI OpenURL
Bilgici, Göksal; Bród, Dorota On \(r\)-Jacobsthal and \(r\)-Jacobsthal-Lucas numbers. (English) Zbl 07665190 Ann. Math. Sil. 37, No. 1, 16-31 (2023). MSC: 11B39 PDF BibTeX XML Cite \textit{G. Bilgici} and \textit{D. Bród}, Ann. Math. Sil. 37, No. 1, 16--31 (2023; Zbl 07665190) Full Text: DOI OpenURL
Balaji, Nikhil; Luca, Florian Terms of Lucas sequences having a large smooth divisor. (English) Zbl 07664404 Can. Math. Bull. 66, No. 1, 225-231 (2023). MSC: 11B39 11B37 11B65 PDF BibTeX XML Cite \textit{N. Balaji} and \textit{F. Luca}, Can. Math. Bull. 66, No. 1, 225--231 (2023; Zbl 07664404) Full Text: DOI arXiv OpenURL
Hajnal, P. A short note on Zeckendorf type numeration systems with negative digits allowed. (English) Zbl 07663612 Bull. Inst. Comb. Appl. 97, 54-66 (2023). MSC: 11B39 PDF BibTeX XML Cite \textit{P. Hajnal}, Bull. Inst. Comb. Appl. 97, 54--66 (2023; Zbl 07663612) Full Text: Link OpenURL
da Fonseca, Carlos M.; Kızılateş, Can; Terzioğlu, Nazlıhan A second-order difference equation with sign-alternating coefficients. (English) Zbl 07663602 Kuwait J. Sci. 50, No. 2A, Article No. 1, 8 p. (2023). MSC: 11B37 11B39 33C45 33E30 PDF BibTeX XML Cite \textit{C. M. da Fonseca} et al., Kuwait J. Sci. 50, No. 2A, Article No. 1, 8 p. (2023; Zbl 07663602) Full Text: DOI OpenURL
Belaggoun, Nassima; Belbachir, Hacène; Benmezai, Athmane A \(q\)-analogue of the bi-periodic Fibonacci and Lucas sequences and Rogers-Ramanujan identities. (English) Zbl 07663056 Ramanujan J. 60, No. 3, 693-728 (2023). MSC: 11B39 11B65 11B37 PDF BibTeX XML Cite \textit{N. Belaggoun} et al., Ramanujan J. 60, No. 3, 693--728 (2023; Zbl 07663056) Full Text: DOI OpenURL
Dresden, Greg Chebyshev polynomials, sliding columns, and the \(k\)-step Fibonacci numbers. (English) Zbl 07662988 Math. Mag. 96, No. 1, 30-33 (2023). MSC: 11B39 33C45 PDF BibTeX XML Cite \textit{G. Dresden}, Math. Mag. 96, No. 1, 30--33 (2023; Zbl 07662988) Full Text: DOI arXiv OpenURL
Alahmadi, Adel; Luca, Florian On Tribonacci numbers that are products of factorials. (English) Zbl 07662498 J. Integer Seq. 26, No. 2, Article 23.2.2, 8 p. (2023). Reviewer: Mahadi Ddamulira (Kampala) MSC: 11B39 11A07 11B50 11D61 PDF BibTeX XML Cite \textit{A. Alahmadi} and \textit{F. Luca}, J. Integer Seq. 26, No. 2, Article 23.2.2, 8 p. (2023; Zbl 07662498) Full Text: Link OpenURL
Bang, Caroline; Culver, Eric; Dimitrov, Stoyan; von Bell, Matias; Dickson, Jessica; Perrier, Rachel; Sundaram, Sheila On sums, derivatives, and flips of Riordan arrays. (English) Zbl 07662497 J. Integer Seq. 26, No. 2, Article 23.2.7, 40 p. (2023). MSC: 05A10 05A19 05A15 11B73 11B39 PDF BibTeX XML Cite \textit{C. Bang} et al., J. Integer Seq. 26, No. 2, Article 23.2.7, 40 p. (2023; Zbl 07662497) Full Text: arXiv Link OpenURL
Bouzeraib, Meryem; Boussayoud, Ali; Aloui, Baghdadi Convolutions with the Bernoulli and Euler numbers. (English) Zbl 07662496 J. Integer Seq. 26, No. 2, Article 23.2.4, 18 p. (2023). Reviewer: Mohammad K. Azarian (Evansville) MSC: 11B68 11B39 05A15 PDF BibTeX XML Cite \textit{M. Bouzeraib} et al., J. Integer Seq. 26, No. 2, Article 23.2.4, 18 p. (2023; Zbl 07662496) Full Text: Link OpenURL
Eğecioğlu, Ömer; Klavžar, Sandi; Mollard, Michel Fibonacci cubes with applications and variations. (English) Zbl 07662184 Singapore: World Scientific (ISBN 978-981-12-6903-5/hbk; 978-981-126-916-5/ebook). (2023). MSC: 05-01 05Cxx 11B39 PDF BibTeX XML Full Text: DOI OpenURL
Wang, Rui-Jing; Chen, Yong-Gao On the sum of a Fibonacci number and a prime. (English) Zbl 07661279 Int. J. Number Theory 19, No. 4, 873-889 (2023). MSC: 11P32 11B39 PDF BibTeX XML Cite \textit{R.-J. Wang} and \textit{Y.-G. Chen}, Int. J. Number Theory 19, No. 4, 873--889 (2023; Zbl 07661279) Full Text: DOI OpenURL
Alp, Yasemin; Kocer, E. Gokcen Sequence characterization of almost-Riordan arrays. (English) Zbl 07661153 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 07661153) Full Text: DOI OpenURL
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 07659146 J. Algebra Appl. 22, No. 3, Article ID 2350061, 24 p. (2023). Reviewer: Anitha Thillaisundaram (Lund) MSC: 20F05 11B39 20D60 PDF BibTeX XML Cite \textit{E. Mehraban} and \textit{M. Hashemi}, J. Algebra Appl. 22, No. 3, Article ID 2350061, 24 p. (2023; Zbl 07659146) Full Text: DOI OpenURL
Shrigan, Mallikarjun Coefficient estimates for certain class of bi-univalent functions associated with \(\kappa\)-Fibonacci numbers. (English) Zbl 1506.30006 Gulf J. Math. 14, No. 1, 192-202 (2023). MSC: 30C45 30C80 PDF BibTeX XML Cite \textit{M. Shrigan}, Gulf J. Math. 14, No. 1, 192--202 (2023; Zbl 1506.30006) Full Text: DOI OpenURL
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 OpenURL
Hasanalizade, Elchin Sums of Fibonacci numbers close to a power of 2. (English) Zbl 07657016 Bol. Soc. Mat. Mex., III. Ser. 29, No. 1, Paper No. 19, 11 p. (2023). MSC: 11B39 11J86 PDF BibTeX XML Cite \textit{E. Hasanalizade}, Bol. Soc. Mat. Mex., III. Ser. 29, No. 1, Paper No. 19, 11 p. (2023; Zbl 07657016) Full Text: DOI arXiv OpenURL
Du, Zhibin; da Fonseca, Carlos M. Root location for the characteristic polynomial of a Fibonacci type sequence. (English) Zbl 07655762 Czech. Math. J. 73, No. 1, 189-195 (2023). MSC: 11A63 11B39 11J86 PDF BibTeX XML Cite \textit{Z. Du} and \textit{C. M. da Fonseca}, Czech. Math. J. 73, No. 1, 189--195 (2023; Zbl 07655762) Full Text: DOI OpenURL
Rindler, H. Book review of: A. Stakhov, Mathematics of harmony as a new interdisciplinary direction and “golden” paradigm of modern science. Volume 2: Algorithmic measurement theory, Fibonacci and Golden arithmetic’s and ternary mirror-symmetrical arithmetic. (English) Zbl 1505.00033 Monatsh. Math. 200, No. 2, 485 (2023). MSC: 00A17 11-01 51-01 52-01 01-01 68-01 81-01 11B39 PDF BibTeX XML Cite \textit{H. Rindler}, Monatsh. Math. 200, No. 2, 485 (2023; Zbl 1505.00033) Full Text: DOI OpenURL
Faye, Bernadette; Edjeou, Bilizimbéyé On the problem of Pillai with Pell numbers, Pell-Lucas numbers and powers of \(3\). (English) Zbl 07654423 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 07654423) Full Text: DOI OpenURL
Şiar, Zafer On the exponential Diophantine equation \(F_n^x\pm F_m^x=a\) with \(a\in\{ F_r, L_r\}\). (English) Zbl 07654421 Int. J. Number Theory 19, No. 1, 41-57 (2023). Reviewer: Mahadi Ddamulira (Kampala) MSC: 11B39 11D61 11J86 PDF BibTeX XML Cite \textit{Z. Şiar}, Int. J. Number Theory 19, No. 1, 41--57 (2023; Zbl 07654421) Full Text: DOI OpenURL
Saunders, J. C. The Euler totient function on Lucas sequences. (English) Zbl 07654398 Int. J. Number Theory 19, No. 2, 293-330 (2023). MSC: 11B39 11A25 11D99 PDF BibTeX XML Cite \textit{J. C. Saunders}, Int. J. Number Theory 19, No. 2, 293--330 (2023; Zbl 07654398) Full Text: DOI arXiv OpenURL
Akande, A. P.; Schneider, Robert Semi-modular forms from Fibonacci-Eisenstein series. (English) Zbl 07643073 Ramanujan J. 60, No. 1, 59-68 (2023). Reviewer: Noburo Ishii (Kyoto) 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 07643073) Full Text: DOI arXiv OpenURL
Nacin, David Van der Laan sequences and a conjecture on Padovan numbers. (English) Zbl 1506.11031 J. Integer Seq. 26, No. 1, Article 23.1.2, 9 p. (2023). MSC: 11B39 05A05 11B83 11B37 PDF BibTeX XML Cite \textit{D. Nacin}, J. Integer Seq. 26, No. 1, Article 23.1.2, 9 p. (2023; Zbl 1506.11031) Full Text: Link OpenURL
Gao, Jiejie Some new identities for arctangents and Chebyshev polynomials. (English) Zbl 1506.11027 J. Integer Seq. 26, No. 1, Article 23.1.3, 13 p. (2023). MSC: 11B39 33B10 11B37 PDF BibTeX XML Cite \textit{J. Gao}, J. Integer Seq. 26, No. 1, Article 23.1.3, 13 p. (2023; Zbl 1506.11027) Full Text: Link OpenURL
He, B.; Mao, Y. L.; Togbé, A. A Fibonacci version of Wolstenholme’s harmonic series congruence. (English) Zbl 1502.11002 Am. Math. Mon. 130, No. 1, 83-85 (2023). MSC: 11A05 11B39 PDF BibTeX XML Cite \textit{B. He} et al., Am. Math. Mon. 130, No. 1, 83--85 (2023; Zbl 1502.11002) Full Text: DOI OpenURL
Jaipong, Pradthana; Lang, Mong Lung; Tan, Ser Peow; Tee, Ming Hong Dilogarithm identities after Bridgeman. (English) Zbl 07635089 Math. Proc. Camb. Philos. Soc. 174, No. 1, 1-23 (2023). Reviewer: Marcel G. de Bruin (Heemstede) MSC: 11A55 11B39 11G55 11Y70 30F60 33B30 PDF BibTeX XML Cite \textit{P. Jaipong} et al., Math. Proc. Camb. Philos. Soc. 174, No. 1, 1--23 (2023; Zbl 07635089) Full Text: DOI arXiv OpenURL
Izadi, Mohammad; Roul, Pradip A new approach based on shifted Vieta-Fibonacci-quasilinearization technique and its convergence analysis for nonlinear third-order Emden-Fowler equation with multi-singularity. (English) Zbl 1502.65049 Commun. Nonlinear Sci. Numer. Simul. 117, Article ID 106912, 17 p. (2023). MSC: 65L60 11B39 34B15 65L20 PDF BibTeX XML Cite \textit{M. Izadi} and \textit{P. Roul}, Commun. Nonlinear Sci. Numer. Simul. 117, Article ID 106912, 17 p. (2023; Zbl 1502.65049) Full Text: DOI OpenURL
Cerda-Morales, Gamaliel On bicomplex third-order Jacobsthal numbers. (English) Zbl 07630886 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 07630886) Full Text: DOI OpenURL
Gómez, Carlos A.; Gómez, Jhonny C.; Luca, Florian On a variant of an identity relating cubes of three consecutive Fibonacci numbers. (English) Zbl 07629838 Bull. Malays. Math. Sci. Soc. (2) 46, No. 2, Paper No. 47, 31 p. (2023). MSC: 11B39 11J86 PDF BibTeX XML Cite \textit{C. A. Gómez} et al., Bull. Malays. Math. Sci. Soc. (2) 46, No. 2, Paper No. 47, 31 p. (2023; Zbl 07629838) Full Text: DOI OpenURL
Pucanović, Zoran; Pešović, Marko Chebyshev polynomials and \(r\)-circulant matrices. (English) Zbl 07617928 Appl. Math. Comput. 437, Article ID 127521, 13 p. (2023). MSC: 11B39 15B05 11B83 33C45 PDF BibTeX XML Cite \textit{Z. Pucanović} and \textit{M. Pešović}, Appl. Math. Comput. 437, Article ID 127521, 13 p. (2023; Zbl 07617928) Full Text: DOI OpenURL
Eğecioğlu, Omer; Sayg, Elif; Sayg, Zülfükar The Mostar and Wiener index of alternate Lucas cubes. (English) Zbl 07613261 Trans. Comb. 12, No. 1, 37-46 (2023). MSC: 05C09 05C12 05A15 05C75 05C31 05C92 92E10 11B39 PDF BibTeX XML Cite \textit{O. Eğecioğlu} et al., Trans. Comb. 12, No. 1, 37--46 (2023; Zbl 07613261) Full Text: DOI OpenURL
Agrawal, Garvita; Teeth, Manjeet Singh Properties of generalized Fibonacci and Lucas polynomials. (English) Zbl 07684664 J. Rajasthan Acad. Phys. Sci. 21, No. 3-4, 175-188 (2022). MSC: 11B37 11B39 11B50 PDF BibTeX XML Cite \textit{G. Agrawal} and \textit{M. S. Teeth}, J. Rajasthan Acad. Phys. Sci. 21, No. 3--4, 175--188 (2022; Zbl 07684664) Full Text: Link OpenURL
Tiebekabe, Pagdame; Diouf, Ismaïla On the Diophantine equation \(\sum^5_{k=1}F_{n_k}=2^a\). (English) Zbl 07676376 Fibonacci Q. 60, No. 5, Spec. Iss., 384-400 (2022). MSC: 11B39 11J86 11D61 PDF BibTeX XML Cite \textit{P. Tiebekabe} and \textit{I. Diouf}, Fibonacci Q. 60, No. 5, 384--400 (2022; Zbl 07676376) Full Text: arXiv Link OpenURL
Sonrod, Earth; Tanner, Kate; Leyner, Colin Some properties of the Fibonacci-Pascal triangle. (English) Zbl 07676375 Fibonacci Q. 60, No. 5, Spec. Iss., 372-383 (2022). MSC: 11B39 05A19 PDF BibTeX XML Cite \textit{E. Sonrod} et al., Fibonacci Q. 60, No. 5, 372--383 (2022; Zbl 07676375) Full Text: Link OpenURL
Smajlović, Lejla; Šabanac, Zenan; Šćeta, Lamija On the Hurwitz-type zeta function associated to the Lucas sequence. (English) Zbl 07676374 Fibonacci Q. 60, No. 5, Spec. Iss., 355-371 (2022). MSC: 11M41 11B39 30B40 PDF BibTeX XML Cite \textit{L. Smajlović} et al., Fibonacci Q. 60, No. 5, 355--371 (2022; Zbl 07676374) Full Text: arXiv Link OpenURL
Ry, Prasanta Kumar; Bhoi, Kisan On the Diophantine equation \(N_n=x^a\pm x^b+1\). (English) Zbl 07676371 Fibonacci Q. 60, No. 5, Spec. Iss., 316-323 (2022). MSC: 11D61 11B39 11J86 PDF BibTeX XML Cite \textit{P. K. Ry} and \textit{K. Bhoi}, Fibonacci Q. 60, No. 5, 316--323 (2022; Zbl 07676371) Full Text: Link OpenURL
Miller, Steven J.; Peng, Fei; Popescu, Tudor; Wattanawanichkul, Nawapan Walking to infinity on the Fibonacci sequence. (English) Zbl 07676369 Fibonacci Q. 60, No. 5, Spec. Iss., 293-298 (2022). MSC: 11B39 PDF BibTeX XML Cite \textit{S. J. Miller} et al., Fibonacci Q. 60, No. 5, 293--298 (2022; Zbl 07676369) Full Text: arXiv Link OpenURL
Mbirika, Aba; Spilker, Jürgen GCD of sums of \(k\) consecutive squares of generalized Fibonacci numbers. (English) Zbl 07676367 Fibonacci Q. 60, No. 5, Spec. Iss., 255-269 (2022). MSC: 11B39 11A05 11B50 PDF BibTeX XML Cite \textit{A. Mbirika} and \textit{J. Spilker}, Fibonacci Q. 60, No. 5, 255--269 (2022; Zbl 07676367) Full Text: arXiv Link OpenURL
Martinez, Thomas C.; Miller, Steven J.; Mizgerd, Clayton; Murphy, Jack; Sun, Chenyang Generalizing Zeckendorf’s theorem to homogeneous linear recurrences. II. (English) Zbl 07676366 Fibonacci Q. 60, No. 5, Spec. Iss., 231-254 (2022). MSC: 11B39 65Q30 PDF BibTeX XML Cite \textit{T. C. Martinez} et al., Fibonacci Q. 60, No. 5, 231--254 (2022; Zbl 07676366) Full Text: arXiv Link OpenURL
Martinez, Thomas C.; Miller, Steven J.; Mizgerd, Clayton; Sun, Chenyang Generalizing Zeckendorf’s theorem to homogeneous linear recurrences. I. (English) Zbl 07676365 Fibonacci Q. 60, No. 5, Spec. Iss., 222-230 (2022). MSC: 11B39 PDF BibTeX XML Cite \textit{T. C. Martinez} et al., Fibonacci Q. 60, No. 5, 222--230 (2022; Zbl 07676365) Full Text: arXiv Link OpenURL
Kuloğlu, Bahar; Özkan, Engin; Shannon, Anthony G. The Narayana sequence in finite groups. (English) Zbl 07676364 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 07676364) Full Text: Link OpenURL
Kirgizov, Sergey; Ramírez, José L. Polyominoes and graphs built from Fibonacci words. (English) Zbl 07676363 Fibonacci Q. 60, No. 5, Spec. Iss., 196-211 (2022). MSC: 11B39 05A15 05A19 PDF BibTeX XML Cite \textit{S. Kirgizov} and \textit{J. L. Ramírez}, Fibonacci Q. 60, No. 5, 196--211 (2022; Zbl 07676363) Full Text: arXiv Link OpenURL
Kirgizov, Sergey \(\mathbb{Q}\)-bonacci words and numbers. (English) Zbl 07676362 Fibonacci Q. 60, No. 5, Spec. Iss., 187-195 (2022). MSC: 05A05 11B39 68R15 PDF BibTeX XML Cite \textit{S. Kirgizov}, Fibonacci Q. 60, No. 5, 187--195 (2022; Zbl 07676362) Full Text: arXiv Link OpenURL
Hendel, Russell Jay A system of four simultaneous recursions: generalization of the Ledin-Shannon-Ollerton identity. (English) Zbl 07676360 Fibonacci Q. 60, No. 5, Spec. Iss., 172-180 (2022). MSC: 11B39 PDF BibTeX XML Cite \textit{R. J. Hendel}, Fibonacci Q. 60, No. 5, 172--180 (2022; Zbl 07676360) Full Text: arXiv Link OpenURL
Evans, Emily; Hendel, Russell Jay An infinite 2-dimensional array associated with electric circuits. (English) Zbl 07676359 Fibonacci Q. 60, No. 5, Spec. Iss., 151-171 (2022). MSC: 11B39 33C05 PDF BibTeX XML Cite \textit{E. Evans} and \textit{R. J. Hendel}, Fibonacci Q. 60, No. 5, 151--171 (2022; Zbl 07676359) Full Text: arXiv Link OpenURL
Dougherty-Bliss, Robert The Meta-C-finite Ansatz. (English) Zbl 07676358 Fibonacci Q. 60, No. 5, Spec. Iss., 143-150 (2022). MSC: 11B37 11B39 PDF BibTeX XML Cite \textit{R. Dougherty-Bliss}, Fibonacci Q. 60, No. 5, 143--150 (2022; Zbl 07676358) Full Text: arXiv Link OpenURL
Cui, Hao; Cui, Xiaoyu; Davis, Sophia C.; Durmić, Irfan; Hu, Qingcheng; Liu, Lisa; Miller, Steven J.; Ren, Fengping; Smith Reina, Alicia; Sosis, Eliel Sums of reciprocals of recurrence relations. (English) Zbl 07676357 Fibonacci Q. 60, No. 5, Spec. Iss., 111-142 (2022). MSC: 11B39 33C05 PDF BibTeX XML Cite \textit{H. Cui} et al., Fibonacci Q. 60, No. 5, 111--142 (2022; Zbl 07676357) Full Text: arXiv Link OpenURL
Ching, Hsin-Yun; Flórenz, Rigoberto; Luca, F.; Mukherjee, Antara; Saunders, J. C. Primes and Composites in the Determinant Hosoya triangle. (English) Zbl 07676356 Fibonacci Q. 60, No. 5, Spec. Iss., 56-110 (2022). MSC: 11B39 11B83 11A41 PDF BibTeX XML Cite \textit{H.-Y. Ching} et al., Fibonacci Q. 60, No. 5, 56--110 (2022; Zbl 07676356) Full Text: arXiv Link OpenURL
Benjamin, Arthur T.; Elizondo, Daniela Counting on Hosoya’s triangle. (English) Zbl 07676355 Fibonacci Q. 60, No. 5, Spec. Iss., 47-55 (2022). MSC: 11B39 05A19 PDF BibTeX XML Cite \textit{A. T. Benjamin} and \textit{D. Elizondo}, Fibonacci Q. 60, No. 5, 47--55 (2022; Zbl 07676355) Full Text: Link OpenURL
Belkhir, Amine; Tan, Elif; Dağh, Mehmet Some combinatorial aspects of bi-periodic incomplete Horadam sequences. (English) Zbl 07676354 Fibonacci Q. 60, No. 5, Spec. Iss., 39-46 (2022). MSC: 11B39 11B83 05A15 PDF BibTeX XML Cite \textit{A. Belkhir} et al., Fibonacci Q. 60, No. 5, 39--46 (2022; Zbl 07676354) Full Text: Link OpenURL
Allen, Michael A.; Edwards, Kenneth Fence tiling derived identities involving the metallonacci numbers squared or cubed. (English) Zbl 07676352 Fibonacci Q. 60, No. 5, Spec. Iss., 5-17 (2022). MSC: 05A19 11B39 PDF BibTeX XML Cite \textit{M. A. Allen} and \textit{K. Edwards}, Fibonacci Q. 60, No. 5, 5--17 (2022; Zbl 07676352) Full Text: Link OpenURL
Pongsriiam, Prapanpong Combinatorial structure and sumsets associated with Beatty sequences generated by powers of the golden ratio. (English) Zbl 07675722 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 07675722) Full Text: DOI OpenURL
Luca, Florian Markov triples with two Fibonacci components. (English) Zbl 07673828 Rend. Semin. Mat. Univ. Padova 148, 213-243 (2022). MSC: 11B39 11D61 PDF BibTeX XML Cite \textit{F. Luca}, Rend. Semin. Mat. Univ. Padova 148, 213--243 (2022; Zbl 07673828) Full Text: DOI OpenURL
Adegoke, Kunle; Frontczak, Robert; Goy, Taras Fibonacci-Catalan series. (English) Zbl 07673607 Integers 22, Paper A110, 19 p. (2022). MSC: 11B39 PDF BibTeX XML Cite \textit{K. Adegoke} et al., Integers 22, Paper A110, 19 p. (2022; Zbl 07673607) Full Text: arXiv Link OpenURL
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 OpenURL
Hendel, Russell Jay Sums of squares: methods for proving identity families. (English) Zbl 07672945 Nathanson, Melvyn B. (ed.), Combinatorial and additive number theory V. Selected papers based on the presentations at the CANT 2021 workshop, New York, NY, USA, virtual event, May 24–28, 2021. Cham: Springer. Springer Proc. Math. Stat. 395, 239-252 (2022). MSC: 11E25 11B39 PDF BibTeX XML Cite \textit{R. J. Hendel}, Springer Proc. Math. Stat. 395, 239--252 (2022; Zbl 07672945) Full Text: DOI arXiv OpenURL
Bołdyriew, Elżbieta; Haviland, John; Lâm, Phúc; Lentfer, John; Miller, Steven J.; Surez, Fernando Trejos Completeness of positive linear recurrence sequences. (English) Zbl 07672936 Nathanson, Melvyn B. (ed.), Combinatorial and additive number theory V. Selected papers based on the presentations at the CANT 2021 workshop, New York, NY, USA, virtual event, May 24–28, 2021. Cham: Springer. Springer Proc. Math. Stat. 395, 21-77 (2022). MSC: 11B39 11B37 PDF BibTeX XML Cite \textit{E. Bołdyriew} et al., Springer Proc. Math. Stat. 395, 21--77 (2022; Zbl 07672936) Full Text: DOI arXiv OpenURL
Rihane, Salah Eddine; Kafle, Bir; Togbé, Alain Padovan and Perrin numbers of the form \(x^a\pm x^b+1\). (English) Zbl 07670591 Ann. Math. Inform. 55, 158-171 (2022). MSC: 11B39 11D45 11J86 PDF BibTeX XML Cite \textit{S. E. Rihane} et al., Ann. Math. Inform. 55, 158--171 (2022; Zbl 07670591) Full Text: DOI OpenURL
Frontczak, Robert; Goy, Taras; Shattuck, Mark Fibonacci-Lucas-Pell-Jacobsthal relations. (English) Zbl 07670583 Ann. Math. Inform. 55, 28-48 (2022). MSC: 11B39 11B37 PDF BibTeX XML Cite \textit{R. Frontczak} et al., Ann. Math. Inform. 55, 28--48 (2022; Zbl 07670583) Full Text: DOI OpenURL
Saba, N.; Boussayoud, A. Gaussian \((p, q)\)-Jacobsthal and Gaussian \((p, q)\)-Jacobsthal Lucas numbers and their some interesting properties. (English) Zbl 07667951 J. Math. Phys. 63, No. 11, Article ID 112704, 17 p. (2022). MSC: 11B39 05E05 05A15 05A19 11A67 PDF BibTeX XML Cite \textit{N. Saba} and \textit{A. Boussayoud}, J. Math. Phys. 63, No. 11, Article ID 112704, 17 p. (2022; Zbl 07667951) Full Text: DOI OpenURL
Adegoke, K.; Frontczak, R.; Goy, T. P. Additional Fibonacci-Bernoulli relations. (English) Zbl 07666058 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 07666058) Full Text: DOI arXiv OpenURL
Ahmed, Hossen Mohammed Mahdi; Daşdemir, Ahmet Digital image filtering with new generalized order-k Jacobsthal numbers. (English) Zbl 07662172 C. R. Acad. Bulg. Sci. 75, No. 8, 1105-1114 (2022). Reviewer: Angela Slavova (Sofia) MSC: 94A08 11B39 PDF BibTeX XML Cite \textit{H. M. M. Ahmed} and \textit{A. Daşdemir}, C. R. Acad. Bulg. Sci. 75, No. 8, 1105--1114 (2022; Zbl 07662172) Full Text: DOI OpenURL
Alahmadi, Adel; Luca, Florian On the sum of the reciprocals of \(k\)-generalized Fibonacci numbers. (English) Zbl 07660072 An. Științ. Univ. “Ovidius” Constanța, Ser. Mat. 30, No. 1, 31-42 (2022). MSC: 11B39 PDF BibTeX XML Cite \textit{A. Alahmadi} and \textit{F. Luca}, An. Științ. Univ. ``Ovidius'' Constanța, Ser. Mat. 30, No. 1, 31--42 (2022; Zbl 07660072) Full Text: DOI OpenURL
Zhao, Feng-Zhen Some sufficient conditions for the log-concavity of sequences. (English) Zbl 07659989 Indian J. Math. 64, No. 2, 147-160 (2022). Reviewer: Ioan Tomescu (Bucureşti) MSC: 05A20 11B83 PDF BibTeX XML Cite \textit{F.-Z. Zhao}, Indian J. Math. 64, No. 2, 147--160 (2022; Zbl 07659989) OpenURL
Mokhtar, Mahmoud M.; El Dewaik, M. H.; Mohamed, Amany S. Semi-analytic Fibonacci polynomial solution for Volterra-Fredholm integral equation with error analysis. (English) Zbl 07659541 Fractals 30, No. 8, Article ID 2240230, 10 p. (2022). MSC: 65R20 45D05 45B05 11B39 PDF BibTeX XML Cite \textit{M. M. Mokhtar} et al., Fractals 30, No. 8, Article ID 2240230, 10 p. (2022; Zbl 07659541) Full Text: DOI OpenURL
Şiar, Zafer; Keskin, Refik \(k\)-generalized pell numbers which are repdigits in base \(b\). (English) Zbl 07658164 Turk. J. Math. 46, No. 8, 3083-3094 (2022). MSC: 11B39 11D61 11J86 PDF BibTeX XML Cite \textit{Z. Şiar} and \textit{R. Keskin}, Turk. J. Math. 46, No. 8, 3083--3094 (2022; Zbl 07658164) Full Text: DOI OpenURL
Hajnal, Péter A short note on Layman permutations. (English) Zbl 07656052 Acta Univ. Sapientiae, Math. 14, No. 2, 231-238 (2022). Reviewer: Uğur Duran (Iskenderun) MSC: 11B39 05A05 PDF BibTeX XML Cite \textit{P. Hajnal}, Acta Univ. Sapientiae, Math. 14, No. 2, 231--238 (2022; Zbl 07656052) Full Text: DOI OpenURL
Bród, Dorota; Szynal-Liana, Anetta; Włoch, Iwona Two generalizations of dual-complex Lucas-balancing numbers. (English) Zbl 07656051 Acta Univ. Sapientiae, Math. 14, No. 2, 220-230 (2022). MSC: 11B37 11B39 PDF BibTeX XML Cite \textit{D. Bród} et al., Acta Univ. Sapientiae, Math. 14, No. 2, 220--230 (2022; Zbl 07656051) Full Text: DOI OpenURL
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: 11B37 11B39 PDF BibTeX XML Cite \textit{K. Adegoke} et al., Tatra Mt. Math. Publ. 82, 17--28 (2022; Zbl 07655916) Full Text: DOI OpenURL
Alzer, Horst; Luca, Florian An inequality for Fibonacci numbers. (English) Zbl 07655828 Math. Bohem. 147, No. 4, 587-590 (2022). MSC: 11B39 PDF BibTeX XML Cite \textit{H. Alzer} and \textit{F. Luca}, Math. Bohem. 147, No. 4, 587--590 (2022; Zbl 07655828) Full Text: DOI OpenURL
Alan, Murat Mersenne numbers as a difference of two Lucas numbers. (English) Zbl 07655799 Commentat. Math. Univ. Carol. 63, No. 3, 269-276 (2022). MSC: 11B39 11J86 11D61 PDF BibTeX XML Cite \textit{M. Alan}, Commentat. Math. Univ. Carol. 63, No. 3, 269--276 (2022; Zbl 07655799) Full Text: DOI OpenURL
Bród, Dorota; Szynal-Liana, Anetta; Włoch, Iwona On some combinatorial properties of generalized commutative Jacobsthal quaternions and generalized commutative Jacobsthal-Lucas quaternions. (English) Zbl 07655798 Czech. Math. J. 72, No. 4, 1239-1248 (2022). MSC: 11B37 11B39 PDF BibTeX XML Cite \textit{D. Bród} et al., Czech. Math. J. 72, No. 4, 1239--1248 (2022; Zbl 07655798) Full Text: DOI OpenURL