Bravo, Jhon J.; Herrera, Jose L.; Luca, Florian On a generalization of the Pell sequence. (English) Zbl 07361099 Math. Bohem. 146, No. 2, 199-213 (2021). MSC: 11B37 11B39 PDF BibTeX XML Cite \textit{J. J. Bravo} et al., Math. Bohem. 146, No. 2, 199--213 (2021; Zbl 07361099) Full Text: DOI
Tchammou, Euloge; Togbé, Alain On some Diophantine equations involving balancing numbers. (English) Zbl 07361069 Arch. Math., Brno 57, No. 2, 113-130 (2021). MSC: 11B39 PDF BibTeX XML Cite \textit{E. Tchammou} and \textit{A. Togbé}, Arch. Math., Brno 57, No. 2, 113--130 (2021; Zbl 07361069) Full Text: DOI
Chalebgwa, Taboka P.; Ddamulira, Mahadi Padovan numbers which are palindromic concatenations of two distinct repdigits. (English) Zbl 07358923 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 3, Paper No. 108, 14 p. (2021). MSC: 11B39 11D61 11J86 PDF BibTeX XML Cite \textit{T. P. Chalebgwa} and \textit{M. Ddamulira}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 3, Paper No. 108, 14 p. (2021; Zbl 07358923) Full Text: DOI
Kitani, Patricia Massae; Sano, Mari Trinomial coefficients, Fibonacci numbers and units of the group \(\mathcal{U}(\mathbb{Z} C_p)\). (English) Zbl 07358338 Discrete Math. 344, No. 7, Article ID 112415, 9 p. (2021). Reviewer: Peter Danchev (Sofia) MSC: 16U60 16S34 20C05 11B65 11B39 PDF BibTeX XML Cite \textit{P. M. Kitani} and \textit{M. Sano}, Discrete Math. 344, No. 7, Article ID 112415, 9 p. (2021; Zbl 07358338) Full Text: DOI
Ebisu, Hiromi Fibonacci topological phase in arrays of anyonic chains. (English) Zbl 07358069 J. High Energy Phys. 2021, No. 4, Paper No. 120, 15 p. (2021). MSC: 81V27 81T45 81P68 11B39 PDF BibTeX XML Cite \textit{H. Ebisu}, J. High Energy Phys. 2021, No. 4, Paper No. 120, 15 p. (2021; Zbl 07358069) Full Text: DOI arXiv
Brison, Owen J.; Nogueira, J. Eurico Sequence subgroups generated by lifting. (English) Zbl 07357327 Finite Fields Appl. 73, Article ID 101860, 14 p. (2021). MSC: 11B39 PDF BibTeX XML Cite \textit{O. J. Brison} and \textit{J. E. Nogueira}, Finite Fields Appl. 73, Article ID 101860, 14 p. (2021; Zbl 07357327) Full Text: DOI
Carpenter, Ryan; Samuels, Charles L. A polynomial time test to detect numbers with many exceptional points. (English) Zbl 07357016 Int. J. Number Theory 17, No. 4, 973-990 (2021). MSC: 11G50 11R04 11B39 11Y16 15A06 90C05 PDF BibTeX XML Cite \textit{R. Carpenter} and \textit{C. L. Samuels}, Int. J. Number Theory 17, No. 4, 973--990 (2021; Zbl 07357016) Full Text: DOI
Bravo, Jhon J.; Herrera, Jose L.; Luca, Florian Common values of generalized Fibonacci and Pell sequences. (English) Zbl 07356685 J. Number Theory 226, 51-71 (2021). MSC: 11B39 11J86 PDF BibTeX XML Cite \textit{J. J. Bravo} et al., J. Number Theory 226, 51--71 (2021; Zbl 07356685) Full Text: DOI
Chow, Sam; Slattery, Tom On Fibonacci partitions. (English) Zbl 07355828 J. Number Theory 225, 310-326 (2021). MSC: 11B39 05A16 05A17 PDF BibTeX XML Cite \textit{S. Chow} and \textit{T. Slattery}, J. Number Theory 225, 310--326 (2021; Zbl 07355828) Full Text: DOI
Özkan, Engin; Taştan, Merve; Aktaş, Aysun On the new families of \(k\)-Pell numbers and \(k\)-Pell-Lucas numbers and their polynomials. (English) Zbl 07353712 J. Contemp. Appl. Math. 11, No. 1, 16-30 (2021). MSC: 11B39 11B83 11C20 PDF BibTeX XML Cite \textit{E. Özkan} et al., J. Contemp. Appl. Math. 11, No. 1, 16--30 (2021; Zbl 07353712) Full Text: Link
Laishram, Shanta On members of Lucas sequences which are either products of factorials or product of middle binomial coefficients and Catalan numbers. (English) Zbl 07353456 Res. Number Theory 7, No. 2, Paper No. 29, 24 p. (2021). MSC: 11B39 11B65 PDF BibTeX XML Cite \textit{S. Laishram}, Res. Number Theory 7, No. 2, Paper No. 29, 24 p. (2021; Zbl 07353456) Full Text: DOI
Bedoya, D.; Ortega, M.; Ramirez, W.; Urielez, A. New biparametric families of Apostol-Frobenius-Euler polynomials of level \(m\). (English) Zbl 07352825 Mat. Stud. 55, No. 1, 10-23 (2021). MSC: 11B39 11B68 11B83 05A19 PDF BibTeX XML Cite \textit{D. Bedoya} et al., Mat. Stud. 55, No. 1, 10--23 (2021; Zbl 07352825) Full Text: DOI
Flórez, Rigoberto; Junes, Leandro; Ramírez, José L. Counting asymmetric weighted pyramids in non-decreasing Dyck paths. (English) Zbl 07352021 Australas. J. Comb. 79, Part 1, 123-140 (2021). MSC: 05A15 05A19 11B39 PDF BibTeX XML Cite \textit{R. Flórez} et al., Australas. J. Comb. 79, Part 1, 123--140 (2021; Zbl 07352021) Full Text: Link
Dababneh, Issa; Elmer, Mark; McCulloch, Ryan A golden penney game. (English) Zbl 07350753 J. Integer Seq. 24, No. 6, Article 21.6.2, 13 p. (2021). MSC: 91A60 60C05 05A10 11B65 11B39 PDF BibTeX XML Cite \textit{I. Dababneh} et al., J. Integer Seq. 24, No. 6, Article 21.6.2, 13 p. (2021; Zbl 07350753) Full Text: Link
Noppakaew, Passawan; Prinyasart, Thanakorn Complete sequences of weighted \(r\)-generalized Fibonacci powers. (English) Zbl 07350747 J. Integer Seq. 24, No. 5, Article 21.5.4, 20 p. (2021). MSC: 11B39 11B37 PDF BibTeX XML Cite \textit{P. Noppakaew} and \textit{T. Prinyasart}, J. Integer Seq. 24, No. 5, Article 21.5.4, 20 p. (2021; Zbl 07350747) Full Text: Link
Dresden, Gregory; Tulskikh, Michael Tiling a \(2 \times n\) board with dominos and \(L\)-shaped trominos. (English) Zbl 07350740 J. Integer Seq. 24, No. 4, Article 21.4.5, 15 p. (2021). MSC: 05B45 52C20 11B39 PDF BibTeX XML Cite \textit{G. Dresden} and \textit{M. Tulskikh}, J. Integer Seq. 24, No. 4, Article 21.4.5, 15 p. (2021; Zbl 07350740) Full Text: Link
Zhang, Yong; Pan, Hao On the Atkin and Swinnerton-Dyer type congruences for some truncated hypergeometric \({}_1F_0\) series. (English) Zbl 07349953 Acta Arith. 198, No. 2, 169-186 (2021). MSC: 11A07 33C20 11B39 11B65 11B75 05A10 PDF BibTeX XML Cite \textit{Y. Zhang} and \textit{H. Pan}, Acta Arith. 198, No. 2, 169--186 (2021; Zbl 07349953) Full Text: DOI
Verzobio, Matteo Primitive divisors of elliptic divisibility sequences for elliptic curves with \(j=1728\). (English) Zbl 07349952 Acta Arith. 198, No. 2, 129-168 (2021). MSC: 11G05 11B39 11A41 11D59 11G07 11G50 PDF BibTeX XML Cite \textit{M. Verzobio}, Acta Arith. 198, No. 2, 129--168 (2021; Zbl 07349952) Full Text: DOI
Cañadas, Agustín Moreno; Bravo Rios, Gabriel; Giraldo, Hernán Integer sequences arising from Auslander-Reiten quivers of some hereditary Artin algebras. (English) Zbl 07347731 J. Algebra Appl. 20, No. 4, Article ID 2150051, 33 p. (2021). MSC: 11B39 11D45 16G20 16G30 PDF BibTeX XML Cite \textit{A. M. Cañadas} et al., J. Algebra Appl. 20, No. 4, Article ID 2150051, 33 p. (2021; Zbl 07347731) Full Text: DOI
Haider, Azeem; Ali, Usman; Ansari, Moin A. Properties of tiny braids and the associated commuting graph. (English) Zbl 07347322 J. Algebr. Comb. 53, No. 1, 147-155 (2021). MSC: 11B39 05A15 05A05 PDF BibTeX XML Cite \textit{A. Haider} et al., J. Algebr. Comb. 53, No. 1, 147--155 (2021; Zbl 07347322) Full Text: DOI
Raza, Zahid; Bataineh, M. S.; Asim Ali, M. On the norms of some special matrices with Padovan and Pell-Padovan-like sequence. (English) Zbl 07346367 Jordan J. Math. Stat. 14, No. 1, 17-41 (2021). MSC: 15A45 15A60 15A36 11B39 PDF BibTeX XML Cite \textit{Z. Raza} et al., Jordan J. Math. Stat. 14, No. 1, 17--41 (2021; Zbl 07346367) Full Text: Link
Chu, Wenchang Circular sums of binomial coefficients. (English) Zbl 07345661 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 2, Paper No. 92, 6 p. (2021). MSC: 11B39 11B65 PDF BibTeX XML Cite \textit{W. Chu}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 2, Paper No. 92, 6 p. (2021; Zbl 07345661) Full Text: DOI
Sun, Zhi-Wei Further results on Hilbert’s tenth problem. (English) Zbl 07344763 Sci. China, Math. 64, No. 2, 281-306 (2021). MSC: 03D35 11U05 03D25 11D99 11A41 11B39 PDF BibTeX XML Cite \textit{Z.-W. Sun}, Sci. China, Math. 64, No. 2, 281--306 (2021; Zbl 07344763) Full Text: DOI
Altassan, Alaa; Luca, Florian Markov type equations with solutions in Lucas sequences. (English) Zbl 07343509 Mediterr. J. Math. 18, No. 3, Paper No. 87, 12 p. (2021). MSC: 11A25 11B39 11J86 PDF BibTeX XML Cite \textit{A. Altassan} and \textit{F. Luca}, Mediterr. J. Math. 18, No. 3, Paper No. 87, 12 p. (2021; Zbl 07343509) Full Text: DOI
Axenides, Minos; Floratos, Emmanuel; Nicolis, Stam The arithmetic geometry of \(\mathrm{AdS_2}\) and its continuum limit. (English) Zbl 07343356 SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 004, 22 p. (2021). MSC: 83E05 83C57 83C45 81T40 81P17 11B39 11D45 14L35 PDF BibTeX XML Cite \textit{M. Axenides} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 004, 22 p. (2021; Zbl 07343356) Full Text: DOI
Gómez, Jhonny C.; Luca, Florian Product of repdigits with consecutive lengths in the Fibonacci sequence. (English) Zbl 07342838 Bol. Soc. Mat. Mex., III. Ser. 27, No. 2, Paper No. 31, 9 p. (2021). MSC: 11B39 11D61 11J86 PDF BibTeX XML Cite \textit{J. C. Gómez} and \textit{F. Luca}, Bol. Soc. Mat. Mex., III. Ser. 27, No. 2, Paper No. 31, 9 p. (2021; Zbl 07342838) Full Text: DOI
Bednarz, Urszula; Włoch, Iwona Fibonacci numbers in graphs with strong (1, 1, 2)-kernels. (English) Zbl 07342832 Bol. Soc. Mat. Mex., III. Ser. 27, No. 1, Paper No. 12, 12 p. (2021). MSC: 05C20 05C69 11B39 PDF BibTeX XML Cite \textit{U. Bednarz} and \textit{I. Włoch}, Bol. Soc. Mat. Mex., III. Ser. 27, No. 1, Paper No. 12, 12 p. (2021; Zbl 07342832) Full Text: DOI
Saba, Nabiha; Boussayoud, Ali; Araci, Serkan; Kerada, Mohamed; Acikgoz, Mehmet Construction of a new class of symmetric function of binary products of \((p, q)\)-numbers with 2-orthogonal Chebyshev polynomials. (English) Zbl 07342827 Bol. Soc. Mat. Mex., III. Ser. 27, No. 1, Paper No. 7, 26 p. (2021). MSC: 11B39 PDF BibTeX XML Cite \textit{N. Saba} et al., Bol. Soc. Mat. Mex., III. Ser. 27, No. 1, Paper No. 7, 26 p. (2021; Zbl 07342827) Full Text: DOI
Ddamulira, Mahadi On the \(x\)-coordinates of Pell equations that are sums of two Padovan numbers. (English) Zbl 07342824 Bol. Soc. Mat. Mex., III. Ser. 27, No. 1, Paper No. 4, 23 p. (2021). MSC: 11B39 11D45 11D61 11J86 PDF BibTeX XML Cite \textit{M. Ddamulira}, Bol. Soc. Mat. Mex., III. Ser. 27, No. 1, Paper No. 4, 23 p. (2021; Zbl 07342824) Full Text: DOI
Erduvan, Fatih; Keskin, Refik Lucas numbers which are concatenations of two repdigits. (English) Zbl 07342803 Bol. Soc. Mat. Mex., III. Ser. 27, No. 1, Paper No. 20, 11 p. (2021). MSC: 11B39 11J86 11D61 PDF BibTeX XML Cite \textit{F. Erduvan} and \textit{R. Keskin}, Bol. Soc. Mat. Mex., III. Ser. 27, No. 1, Paper No. 20, 11 p. (2021; Zbl 07342803) Full Text: DOI
Shiralashetti, S. C.; Lamani, Lata A modern approach for solving nonlinear Volterra integral equations using Fibonacci wavelets. (English) Zbl 07341321 Electron. J. Math. Analysis Appl. 9, No. 2, 88-98 (2021). MSC: 45D05 11B39 65T60 PDF BibTeX XML Cite \textit{S. C. Shiralashetti} and \textit{L. Lamani}, Electron. J. Math. Analysis Appl. 9, No. 2, 88--98 (2021; Zbl 07341321) Full Text: Link
Cerda-Morales, Gamaliel Introduction to third-order Jacobsthal and modified third-order Jacobsthal hybrinomials. (English) Zbl 07341089 Discuss. Math., Gen. Algebra Appl. 41, No. 1, 139-152 (2021). MSC: 11B37 11B39 PDF BibTeX XML Cite \textit{G. Cerda-Morales}, Discuss. Math., Gen. Algebra Appl. 41, No. 1, 139--152 (2021; Zbl 07341089) Full Text: DOI
Bród, Dorota On balancing quaternions and Lucas-balancing quaternions. (English) Zbl 1459.11034 Discuss. Math., Gen. Algebra Appl. 41, No. 1, 55-68 (2021). MSC: 11B37 11B39 11R52 PDF BibTeX XML Cite \textit{D. Bród}, Discuss. Math., Gen. Algebra Appl. 41, No. 1, 55--68 (2021; Zbl 1459.11034) Full Text: DOI
Alahmadi, Adel; Altassan, Alaa; Luca, Florian; Shoaib, Hatoon Fibonacci numbers which are concatenations of two repdigits. (English) Zbl 07340199 Quaest. Math. 44, No. 2, 281-290 (2021). MSC: 11A25 11B39 11J86 PDF BibTeX XML Cite \textit{A. Alahmadi} et al., Quaest. Math. 44, No. 2, 281--290 (2021; Zbl 07340199) Full Text: DOI
Salah, Imen Ben; Hbaib, Mohamed Computation of \(L_\odot\) in the Tribonacci base. (English) Zbl 07340159 Quaest. Math. 44, No. 3, 291-300 (2021). MSC: 11A63 11B39 PDF BibTeX XML Cite \textit{I. B. Salah} and \textit{M. Hbaib}, Quaest. Math. 44, No. 3, 291--300 (2021; Zbl 07340159) Full Text: DOI
Patel, Bijan Kumar; Teh, Wen Chean An exponential Diophantine equation related to powers of three consecutive Fibonacci numbers. (English) Zbl 07340048 Bull. Malays. Math. Sci. Soc. (2) 44, No. 2, 927-939 (2021). MSC: 11B39 11J86 11D61 PDF BibTeX XML Cite \textit{B. K. Patel} and \textit{W. C. Teh}, Bull. Malays. Math. Sci. Soc. (2) 44, No. 2, 927--939 (2021; Zbl 07340048) Full Text: DOI
Eğecioğlu, Ömer; Saygı, Elif; Saygı, Zülfükar The irregularity polynomials of Fibonacci and Lucas cubes. (English) Zbl 07340037 Bull. Malays. Math. Sci. Soc. (2) 44, No. 2, 753-765 (2021). MSC: 05C31 05C35 05A15 11B39 PDF BibTeX XML Cite \textit{Ö. Eğecioğlu} et al., Bull. Malays. Math. Sci. Soc. (2) 44, No. 2, 753--765 (2021; Zbl 07340037) Full Text: DOI
Fuchs, Clemens; Heintze, Sebastian Integral zeros of a polynomial with linear recurrences as coefficients. (English) Zbl 07337401 Indag. Math., New Ser. 32, No. 3, 691-703 (2021). MSC: 11D61 11B39 12D10 PDF BibTeX XML Cite \textit{C. Fuchs} and \textit{S. Heintze}, Indag. Math., New Ser. 32, No. 3, 691--703 (2021; Zbl 07337401) Full Text: DOI
Boussayoud, Ali; Kerada, Mohamed; Araci, Serkan; Acikgoz, Mehmet Symmetric functions of the \(k\)-Fibonacci and \(k\)-Lucas numbers. (English) Zbl 1458.05254 Asian-Eur. J. Math. 14, No. 3, Article ID 2150031, 12 p. (2021). MSC: 05E05 11B39 PDF BibTeX XML Cite \textit{A. Boussayoud} et al., Asian-Eur. J. Math. 14, No. 3, Article ID 2150031, 12 p. (2021; Zbl 1458.05254) Full Text: DOI
Tichy, Robert; Vukusic, Ingrid; Yang, Daodao; Ziegler, Volker Integers representable as differences of linear recurrence sequences. (English) Zbl 07336790 Res. Number Theory 7, No. 2, Paper No. 24, 12 p. (2021). MSC: 11D61 11B39 11D45 PDF BibTeX XML Cite \textit{R. Tichy} et al., Res. Number Theory 7, No. 2, Paper No. 24, 12 p. (2021; Zbl 07336790) Full Text: DOI
Kilic, Nayil \(h(x)\)-Jacobsthal and \(h(x)\)-Jacobsthal-Lucas representation polynomials. (English) Zbl 1458.11037 Palest. J. Math. 10, No. 1, 312-321 (2021). MSC: 11B39 05A15 PDF BibTeX XML Cite \textit{N. Kilic}, Palest. J. Math. 10, No. 1, 312--321 (2021; Zbl 1458.11037) Full Text: Link
Bitim, Bahar Demirtürk; Topal, Nazim Binomial sum formulas from the exponential generating functions of (\(p,q\))-Fibonacci and (\(p,q\))-Lucas quaternions. (English) Zbl 07336010 Palest. J. Math. 10, No. 1, 279-289 (2021). MSC: 11B39 11B83 11R52 PDF BibTeX XML Cite \textit{B. D. Bitim} and \textit{N. Topal}, Palest. J. Math. 10, No. 1, 279--289 (2021; Zbl 07336010) Full Text: Link
Gómez, Carlos A.; Gómez, Jhonny C.; Luca, Florian \(k-\) Fibonacci powers as sums of powers of some fixed primes. (English) Zbl 07335302 Monatsh. Math. 195, No. 1, 73-105 (2021). MSC: 11B39 11D61 11J86 PDF BibTeX XML Cite \textit{C. A. Gómez} et al., Monatsh. Math. 195, No. 1, 73--105 (2021; Zbl 07335302) Full Text: DOI
Abate, Marco Book review of: A. Granville, Number theory revealed: an introduction; Number theory revealed: a masterclass. (English) Zbl 07334995 Math. Intell. 43, No. 1, 128-129 (2021). MSC: 00A17 11-01 11A05 11A07 11A15 11A41 11A51 11B39 11D04 11D07 11A55 11B30 11D09 11D25 11N05 11N25 PDF BibTeX XML Cite \textit{M. Abate}, Math. Intell. 43, No. 1, 128--129 (2021; Zbl 07334995) Full Text: DOI
Bravo, Jhon J.; Diaz, Maribel; Ramirez, José L. On a variant of the Brocard-Ramanujan equation and an application. (English) Zbl 07334619 Publ. Math. 98, No. 1-2, 243-253 (2021). MSC: 11B39 11D99 PDF BibTeX XML Cite \textit{J. J. Bravo} et al., Publ. Math. 98, No. 1--2, 243--253 (2021; Zbl 07334619) Full Text: DOI
Vukusic, Ingrid; Ziegler, Volker On sums of Fibonacci numbers with few binary digits. (English) Zbl 07334616 Publ. Math. 98, No. 1-2, 157-181 (2021). MSC: 11D61 11D45 11B39 11Y50 PDF BibTeX XML Cite \textit{I. Vukusic} and \textit{V. Ziegler}, Publ. Math. 98, No. 1--2, 157--181 (2021; Zbl 07334616) Full Text: DOI
Aldhuhouri, F. A. M. A.; Al Obeidli, M. M.; Leung, H. H. Some summation identities for Fibonacci quarternions and Hyper-Fibonacci quaternions. (English) Zbl 07333405 J. Algebra Appl. Math. 19, No. 1, 13-37 (2021). MSC: 11B39 PDF BibTeX XML Cite \textit{F. A. M. A. Aldhuhouri} et al., J. Algebra Appl. Math. 19, No. 1, 13--37 (2021; Zbl 07333405)
Keskin, Refik; Erduvan, Fatih Repdigits in the base \(b\) as sums of four balancing numbers. (English) Zbl 07332742 Math. Bohem. 146, No. 1, 55-68 (2021). MSC: 11B39 11J86 11D61 PDF BibTeX XML Cite \textit{R. Keskin} and \textit{F. Erduvan}, Math. Bohem. 146, No. 1, 55--68 (2021; Zbl 07332742) Full Text: DOI
Hofer, Roswitha Finding both, The continued fraction and the Laurent series expansion of golden ratio analogs in the field of formal power series. (English) Zbl 07329228 J. Number Theory 223, 168-194 (2021). MSC: 11B39 11T99 11C99 PDF BibTeX XML Cite \textit{R. Hofer}, J. Number Theory 223, 168--194 (2021; Zbl 07329228) Full Text: DOI
Edwards, Kenneth; Allen, Michael A. New combinatorial interpretations of the Fibonacci numbers squared, golden rectangle numbers, and Jacobsthal numbers using two types of tile. (English) Zbl 1460.11022 J. Integer Seq. 24, No. 3, Article 21.3.8, 18 p. (2021). MSC: 11B39 05A19 PDF BibTeX XML Cite \textit{K. Edwards} and \textit{M. A. Allen}, J. Integer Seq. 24, No. 3, Article 21.3.8, 18 p. (2021; Zbl 1460.11022) Full Text: Link
Batır, Necdet; Sofo, Anthony A unified treatment of certain classes of combinatorial identities. (English) Zbl 1460.05021 J. Integer Seq. 24, No. 3, Article 21.3.2, 18 p. (2021). MSC: 05A19 05A10 11B39 11B73 11B65 PDF BibTeX XML Cite \textit{N. Batır} and \textit{A. Sofo}, J. Integer Seq. 24, No. 3, Article 21.3.2, 18 p. (2021; Zbl 1460.05021) Full Text: Link
Adegoke, Kunle Relating certain weighted Fibonacci series to Bernoulli polynomials via the polylogarithm function. (English) Zbl 1460.11021 J. Integer Seq. 24, No. 2, Article 21.2.6, 16 p. (2021). MSC: 11B39 11B68 33B30 PDF BibTeX XML Cite \textit{K. Adegoke}, J. Integer Seq. 24, No. 2, Article 21.2.6, 16 p. (2021; Zbl 1460.11021) Full Text: Link
Deveci, Ömür; Shannon, Anthony G. The complex-type \(k\)-Fibonacci sequences and their applications. (English) Zbl 07327530 Commun. Algebra 49, No. 3, 1352-1367 (2021). Reviewer: Krassimir Atanassov (Sofia) MSC: 11B39 11B37 20F05 PDF BibTeX XML Cite \textit{Ö. Deveci} and \textit{A. G. Shannon}, Commun. Algebra 49, No. 3, 1352--1367 (2021; Zbl 07327530) Full Text: DOI
Andrade, Enide; Carrasco-Olivera, Dante; Manzaneda, Cristina On circulant like matrices properties involving Horadam, Fibonacci, Jacobsthal and Pell numbers. (English) Zbl 07323376 Linear Algebra Appl. 617, 100-120 (2021). Reviewer: Carlos M. da Fonseca (Safat) MSC: 15B05 15A18 15A29 11C20 11B39 11B83 PDF BibTeX XML Cite \textit{E. Andrade} et al., Linear Algebra Appl. 617, 100--120 (2021; Zbl 07323376) Full Text: DOI
Qi, Feng; Wang, Jing-Lin; Guo, Bai-Ni Retraction note to: “A determinantal expression for the Fibonacci polynomials in terms of a tridiagonal determinant”. (English) Zbl 1456.11022 Bull. Iran. Math. Soc. 47, No. 2, 599-600 (2021). MSC: 11B39 11B83 11C20 11Y55 15A15 65F40 PDF BibTeX XML Cite \textit{F. Qi} et al., Bull. Iran. Math. Soc. 47, No. 2, 599--600 (2021; Zbl 1456.11022) Full Text: DOI
Yamani, Hashim A. Supersymmetric Fibonacci polynomials. (English) Zbl 1459.81048 Anal. Math. Phys. 11, No. 2, Paper No. 65, 13 p. (2021). MSC: 81Q60 81Q10 47B36 42C05 41A50 11B39 PDF BibTeX XML Cite \textit{H. A. Yamani}, Anal. Math. Phys. 11, No. 2, Paper No. 65, 13 p. (2021; Zbl 1459.81048) Full Text: DOI
Gómez, Carlos A.; Gómez, Jhonny C.; Luca, Florian Two \(b\)-repunits in the Fibonacci sequence. (English) Zbl 07318744 J. Number Theory 222, 393-422 (2021). MSC: 11B39 11D61 11J86 PDF BibTeX XML Cite \textit{C. A. Gómez} et al., J. Number Theory 222, 393--422 (2021; Zbl 07318744) Full Text: DOI
Okabe, Takuya; Yoshimura, Jin Two-step mechanism of spiral phyllotaxis. (English) Zbl 1457.92028 J. Theor. Biol. 508, Article ID 110484, 7 p. (2021). MSC: 92C15 92C80 11B39 PDF BibTeX XML Cite \textit{T. Okabe} and \textit{J. Yoshimura}, J. Theor. Biol. 508, Article ID 110484, 7 p. (2021; Zbl 1457.92028) Full Text: DOI
Damanik, David; Fillman, Jake; Gorodetski, Anton Multidimensional Schrödinger operators whose spectrum features a half-line and a Cantor set. (English) Zbl 1460.81026 J. Funct. Anal. 280, No. 7, Article ID 108911, 39 p. (2021). MSC: 81Q10 35P05 34L40 11B39 PDF BibTeX XML Cite \textit{D. Damanik} et al., J. Funct. Anal. 280, No. 7, Article ID 108911, 39 p. (2021; Zbl 1460.81026) Full Text: DOI
Allen, Edward E.; Riley, Katherine; Weselcouch, Michael Multivariable Lucas polynomials and lucanomials. (English) Zbl 1454.11033 Integers 21, Paper A12, 18 p. (2021). MSC: 11B39 PDF BibTeX XML Cite \textit{E. E. Allen} et al., Integers 21, Paper A12, 18 p. (2021; Zbl 1454.11033) Full Text: Link
Hadjicostas, Petros The factorial moments of the generalized Bernoulli-Fibonacci distribution. (English) Zbl 1454.11036 Integers 21, Paper A11, 20 p. (2021). MSC: 11B39 62P30 60C05 PDF BibTeX XML Cite \textit{P. Hadjicostas}, Integers 21, Paper A11, 20 p. (2021; Zbl 1454.11036) Full Text: Link
Rayaguru, Sai Gopal; Panda, Gopal Krishna Balancing and Lucas-balancing numbers expressible as sums of two repdigits. (English) Zbl 1454.11040 Integers 21, Paper A7, 17 p. (2021). MSC: 11B39 11A63 PDF BibTeX XML Cite \textit{S. G. Rayaguru} and \textit{G. K. Panda}, Integers 21, Paper A7, 17 p. (2021; Zbl 1454.11040) Full Text: Link
Andrica, Dorin; Bagdasar, Ovidiu On some new arithmetic properties of the generalized Lucas sequences. (English) Zbl 07302847 Mediterr. J. Math. 18, No. 2, Paper No. 47, 15 p. (2021). MSC: 11A51 11B39 11B50 PDF BibTeX XML Cite \textit{D. Andrica} and \textit{O. Bagdasar}, Mediterr. J. Math. 18, No. 2, Paper No. 47, 15 p. (2021; Zbl 07302847) Full Text: DOI
Kilar, Neslihan; Simsek, Yilmaz Identities and relations for Hermite-based Milne-Thomson polynomials associated with Fibonacci and Chebyshev polynomials. (English) Zbl 1456.05007 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 1, Paper No. 28, 20 p. (2021). MSC: 05A15 11B39 11B68 26C05 33B10 30C15 PDF BibTeX XML Cite \textit{N. Kilar} and \textit{Y. Simsek}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 1, Paper No. 28, 20 p. (2021; Zbl 1456.05007) Full Text: DOI
Nabawanda, Olivia; Rakotondrajao, Fanja Sets of flattened partitions with forbidden patterns. (English) Zbl 1455.05003 J. Integer Seq. 24, No. 1, Article 21.1.5, 15 p. (2021). MSC: 05A05 05A10 05A15 05A18 11B39 PDF BibTeX XML Cite \textit{O. Nabawanda} and \textit{F. Rakotondrajao}, J. Integer Seq. 24, No. 1, Article 21.1.5, 15 p. (2021; Zbl 1455.05003) Full Text: Link
Ballot, Christian The \(p\)-adic valuation of Lucasnomials when \(p\) is a special prime. (English) Zbl 07298073 J. Integer Seq. 24, No. 1, Article 21.1.4, 14 p. (2021). MSC: 11B65 11B39 PDF BibTeX XML Cite \textit{C. Ballot}, J. Integer Seq. 24, No. 1, Article 21.1.4, 14 p. (2021; Zbl 07298073) Full Text: Link
Kebli, Salima; Kihel, Omar; Larone, Jesse; Luca, Florian On the nonnegative integer solutions to the equation \(F_n \pm F_m = y^a\). (English) Zbl 07276978 J. Number Theory 220, 107-127 (2021). MSC: 11B39 11J86 11D61 PDF BibTeX XML Cite \textit{S. Kebli} et al., J. Number Theory 220, 107--127 (2021; Zbl 07276978) Full Text: DOI
Nubpetchploy, Sinsup; Pakapongpun, Apisit Three combined sequences related to Jacobsthal sequences. (English) Zbl 07264175 Int. J. Math. Comput. Sci. 16, No. 1, 149-157 (2021). MSC: 11B39 PDF BibTeX XML Cite \textit{S. Nubpetchploy} and \textit{A. Pakapongpun}, Int. J. Math. Comput. Sci. 16, No. 1, 149--157 (2021; Zbl 07264175) Full Text: Link
Spiro, Sam Slow recurrences. (English) Zbl 1451.11017 J. Number Theory 218, 370-401 (2021). MSC: 11B37 11B39 PDF BibTeX XML Cite \textit{S. Spiro}, J. Number Theory 218, 370--401 (2021; Zbl 1451.11017) Full Text: DOI
Saba, Nabiha; Boussayoud, Ali; Abderrezzak, Abdelhamid Complete homogeneous symmetric functions of third and second-order linear recurrence sequences. (English) Zbl 07246090 Electron. J. Math. Analysis Appl. 9, No. 1, 226-242 (2021). MSC: 05E05 11B39 PDF BibTeX XML Cite \textit{N. Saba} et al., Electron. J. Math. Analysis Appl. 9, No. 1, 226--242 (2021; Zbl 07246090) Full Text: Link
Taştan, Merve; Özkan, Engin On the Gauss \(k\)-Fibonacci polynomials. (English) Zbl 07246081 Electron. J. Math. Analysis Appl. 9, No. 1, 124-130 (2021). MSC: 11B39 11B83 11C20 PDF BibTeX XML Cite \textit{M. Taştan} and \textit{E. Özkan}, Electron. J. Math. Analysis Appl. 9, No. 1, 124--130 (2021; Zbl 07246081) Full Text: Link
Stakhov, Alexey Mathematics of harmony as a new interdisciplinary direction and “golden” paradigm of modern science. Volume 3: The “golden” paradigm of modern science: prerequisite for the “golden” revolution in mathematics, computer science, and theoretical natural sciences. (English) Zbl 1448.11003 Series on Knots and Everything 69. Hackensack, NJ: World Scientific (ISBN 978-981-12-1349-6/hbk; 978-981-12-1351-9/ebook). xliv, 193 p. (2021). MSC: 11-01 51-01 52-01 01-01 68-01 81-01 11B39 PDF BibTeX XML Cite \textit{A. Stakhov}, Mathematics of harmony as a new interdisciplinary direction and ``golden'' paradigm of modern science. Volume 3: The ``golden'' paradigm of modern science: prerequisite for the ``golden'' revolution in mathematics, computer science, and theoretical natural sciences. Hackensack, NJ: World Scientific (2021; Zbl 1448.11003) Full Text: DOI
Stakhov, Alexey 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 1448.11002 Series on Knots and Everything 68. Hackensack, NJ: World Scientific (ISBN 978-981-12-1346-5/hbk; 978-981-12-1348-9/ebook). xxxviii, 287 p. (2021). MSC: 11-01 51-01 52-01 01-01 68-01 81-01 11B39 PDF BibTeX XML Cite \textit{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. Hackensack, NJ: World Scientific (2021; Zbl 1448.11002) Full Text: DOI
Şiar, Zafer; Keskin, Refik Repdigits a sums of two Lucas numbers. (English) Zbl 07360640 Appl. Math. E-Notes 20, 33-38 (2020). MSC: 11B39 11D72 11J86 PDF BibTeX XML Cite \textit{Z. Şiar} and \textit{R. Keskin}, Appl. Math. E-Notes 20, 33--38 (2020; Zbl 07360640) Full Text: Link
Saygı, Zülfükar Results on the domination number and the total domination number of Lucas cubes. (English) Zbl 07357752 Ars Math. Contemp. 19, No. 1, 25-35 (2020). MSC: 05C69 68R10 11B39 90C05 90C10 PDF BibTeX XML Cite \textit{Z. Saygı}, Ars Math. Contemp. 19, No. 1, 25--35 (2020; Zbl 07357752) Full Text: DOI
Bilgici, Göksal; Daşdemir, Ahmet Some unrestricted Fibonacci and Lucas hyper-complex numbers. (English) Zbl 07357529 Acta Comment. Univ. Tartu. Math. 24, No. 1, 37-48 (2020). MSC: 11B39 11R52 PDF BibTeX XML Cite \textit{G. Bilgici} and \textit{A. Daşdemir}, Acta Comment. Univ. Tartu. Math. 24, No. 1, 37--48 (2020; Zbl 07357529) Full Text: DOI
Dişkaya, O.; Menken, H. On the Padovan triangle. (English) Zbl 07353707 J. Contemp. Appl. Math. 10, No. 2, 66-76 (2020). MSC: 11B39 05A15 11R52 PDF BibTeX XML Cite \textit{O. Dişkaya} and \textit{H. Menken}, J. Contemp. Appl. Math. 10, No. 2, 66--76 (2020; Zbl 07353707) Full Text: Link
Özkan, E.; Kuloǧlu, B. On a Jacobsthal-Like sequence associated with \(k\)-Jacobsthal-Lucas sequence. (English) Zbl 07353702 J. Contemp. Appl. Math. 10, No. 2, 3-13 (2020). MSC: 11B39 11B83 PDF BibTeX XML Cite \textit{E. Özkan} and \textit{B. Kuloǧlu}, J. Contemp. Appl. Math. 10, No. 2, 3--13 (2020; Zbl 07353702) Full Text: Link
Kilic, Nayil On dual Horadam quaternions. (English) Zbl 07351472 An. Ştiinţ. Univ. Al. I. Cuza Iaşi, Ser. Nouă, Mat. 66, No. 1, 101-112 (2020). MSC: 11R52 05A15 11B39 PDF BibTeX XML Cite \textit{N. Kilic}, An. Ştiinţ. Univ. Al. I. Cuza Iaşi, Ser. Nouă, Mat. 66, No. 1, 101--112 (2020; Zbl 07351472)
Boussayoud, Ali; Boughaba, Souhila; Araci, Serkan Complete symmetric functions in several variables and \(k\) Fibonacci numbers. (English) Zbl 07351050 Util. Math. 115, 23-37 (2020). MSC: 05E05 05A15 11B39 PDF BibTeX XML Cite \textit{A. Boussayoud} et al., Util. Math. 115, 23--37 (2020; Zbl 07351050)
Majumdar, Rajeshwari; Mariano, Phanuel; Panzo, Hugo; Peng, Lowen; Sisti, Anthony Lyapunov exponent and variance in the CLT for products of random matrices related to random Fibonacci sequences. (English) Zbl 07349943 Discrete Contin. Dyn. Syst., Ser. B 25, No. 12, 4779-4799 (2020). MSC: 37H15 37M25 60B20 60B15 11B39 PDF BibTeX XML Cite \textit{R. Majumdar} et al., Discrete Contin. Dyn. Syst., Ser. B 25, No. 12, 4779--4799 (2020; Zbl 07349943) Full Text: DOI
Choi, Eunmi; Choi, Myungjin On \(k\) slope diagonal sums of \(q\)-commuting table and nonzero Pauli table. (English) Zbl 07344427 East Asian Math. J. 36, No. 3, 425-435 (2020). MSC: 11B37 11B39 PDF BibTeX XML Cite \textit{E. Choi} and \textit{M. Choi}, East Asian Math. J. 36, No. 3, 425--435 (2020; Zbl 07344427) Full Text: DOI
Erazo, Harold; Gómez, Carlos A.; Luca, Florian Linear combinations of prime powers in \(X\)-coordinates of Pell equations. (English) Zbl 07343717 Ramanujan J. 53, No. 1, 123-137 (2020). MSC: 11B39 11D45 11J86 PDF BibTeX XML Cite \textit{H. Erazo} et al., Ramanujan J. 53, No. 1, 123--137 (2020; Zbl 07343717) Full Text: DOI
Mangueira, Milena Carolina dos Santos; Vieira, Renata Passos Machado; Alves, Francisco Régis Vieira; Catarino, Paula Maria Machado Cruz The hybrid numbers of Padovan and some identities. (English) Zbl 07342920 Ann. Math. Sil. 34, No. 2, 256-267 (2020). MSC: 11B37 11B39 PDF BibTeX XML Cite \textit{M. C. dos S. Mangueira} et al., Ann. Math. Sil. 34, No. 2, 256--267 (2020; Zbl 07342920) Full Text: DOI
Koken, Fikri The GCD sequences of the altered Lucas sequences. (English) Zbl 07342918 Ann. Math. Sil. 34, No. 2, 222-240 (2020). MSC: 11B37 11B39 11B83 PDF BibTeX XML Cite \textit{F. Koken}, Ann. Math. Sil. 34, No. 2, 222--240 (2020; Zbl 07342918) Full Text: DOI
Farhadian, Reza; Jakimczuk, Rafael Notes on a general sequence. (English) Zbl 07342916 Ann. Math. Sil. 34, No. 2, 193-202 (2020). MSC: 11K31 11B83 40A05 11B39 PDF BibTeX XML Cite \textit{R. Farhadian} and \textit{R. Jakimczuk}, Ann. Math. Sil. 34, No. 2, 193--202 (2020; Zbl 07342916) Full Text: DOI
Zhang, Xian A Gauss-Kuzmin-Lévy problem for random Fibonacci type sequences. (Chinese. English summary) Zbl 07339288 Math. Appl. 33, No. 4, 987-1001 (2020). MSC: 11B39 11J70 PDF BibTeX XML Cite \textit{X. Zhang}, Math. Appl. 33, No. 4, 987--1001 (2020; Zbl 07339288)
Wang, Zhijian Permutation properties of the Fibonacci polynomials. (Chinese. English summary) Zbl 07339085 J. Sichuan Univ., Nat. Sci. Ed. 57, No. 6, 1047-1051 (2020). MSC: 11B39 11T06 PDF BibTeX XML Cite \textit{Z. Wang}, J. Sichuan Univ., Nat. Sci. Ed. 57, No. 6, 1047--1051 (2020; Zbl 07339085) Full Text: DOI
Huber, Mark A probabilistic approach to the Fibonacci sequence. (English) Zbl 07335823 Math. Intell. 42, No. 3, 29-33 (2020). MSC: 11B39 60J20 PDF BibTeX XML Cite \textit{M. Huber}, Math. Intell. 42, No. 3, 29--33 (2020; Zbl 07335823) Full Text: DOI
Ching, Hsin-Yun; Flórez, Rigoberto; Mukherjee, Antara Families of integral cographs within a triangular array. (English) Zbl 07335013 Spec. Matrices 8, 257-273 (2020). MSC: 05C99 05C50 11B39 PDF BibTeX XML Cite \textit{H.-Y. Ching} et al., Spec. Matrices 8, 257--273 (2020; Zbl 07335013) Full Text: DOI
Ji, Hao Yang; Li, Si Min The attractor of Fibonacci-like renormalization operator. (English) Zbl 07334466 Acta Math. Sin., Engl. Ser. 36, No. 11, 1256-1278 (2020). MSC: 37E15 11B39 PDF BibTeX XML Cite \textit{H. Y. Ji} and \textit{S. M. Li}, Acta Math. Sin., Engl. Ser. 36, No. 11, 1256--1278 (2020; Zbl 07334466) Full Text: DOI
Park, Jinseo Integer points on the elliptic curves induced by Diophantine triples. (English) Zbl 07333846 Commun. Korean Math. Soc. 35, No. 3, 745-757 (2020). MSC: 11B39 11G05 11D09 11D45 PDF BibTeX XML Cite \textit{J. Park}, Commun. Korean Math. Soc. 35, No. 3, 745--757 (2020; Zbl 07333846) Full Text: DOI
Aldhuhouri, F. A. M. A.; Al Obeidli, M. M.; Leung, H. H. Complex bi-periodic Horadam numbers. (English) Zbl 07333399 J. Algebra Appl. Math. 18, No. 2, 73-84 (2020). MSC: 11B39 PDF BibTeX XML Cite \textit{F. A. M. A. Aldhuhouri} et al., J. Algebra Appl. Math. 18, No. 2, 73--84 (2020; Zbl 07333399)
Elsayed, Elsayed M.; Alzahrani, Faris; Abbas, Ibrahim; Alotaibi, N. H. Dynamical behavior and solution of nonlinear difference equation via Fibonacci sequence. (English) Zbl 07331927 J. Appl. Anal. Comput. 10, No. 1, 282-296 (2020). MSC: 39A10 11B39 PDF BibTeX XML Cite \textit{E. M. Elsayed} et al., J. Appl. Anal. Comput. 10, No. 1, 282--296 (2020; Zbl 07331927) Full Text: DOI
Kafle, Bir; Luca, Florian; Togbé, Alain Pentagonal and heptagonal repdigits. (English) Zbl 07326521 Ann. Math. Inform. 52, 137-145 (2020). MSC: 11A25 11B39 11J86 PDF BibTeX XML Cite \textit{B. Kafle} et al., Ann. Math. Inform. 52, 137--145 (2020; Zbl 07326521) Full Text: DOI
Gómez, Carlos A.; Gómez, Jhonny C.; Luca, Florian Markov triples with \(k\)-generalized Fibonacci components. (English) Zbl 07326519 Ann. Math. Inform. 52, 107-115 (2020). MSC: 11B39 11D61 11J86 PDF BibTeX XML Cite \textit{C. A. Gómez} et al., Ann. Math. Inform. 52, 107--115 (2020; Zbl 07326519) Full Text: DOI
Frontczak, Robert; Goy, Taras Combinatorial sums associated with balancing and Lucas-balancing polynomials. (English) Zbl 07326518 Ann. Math. Inform. 52, 97-105 (2020). MSC: 11B39 11B83 05A10 PDF BibTeX XML Cite \textit{R. Frontczak} and \textit{T. Goy}, Ann. Math. Inform. 52, 97--105 (2020; Zbl 07326518) Full Text: DOI
Cerda-Morales, Gamaliel A note on dual third-order Jacobsthal vectors. (English) Zbl 07326515 Ann. Math. Inform. 52, 57-70 (2020). MSC: 11B39 11R52 05A15 PDF BibTeX XML Cite \textit{G. Cerda-Morales}, Ann. Math. Inform. 52, 57--70 (2020; Zbl 07326515) Full Text: DOI
Guo, Dongwei Summation formulae involving Stirling and Lah numbers. (English) Zbl 1459.05015 Forum Math. 32, No. 6, 1407-1414 (2020). MSC: 05A19 05A15 11B65 11B73 11B39 PDF BibTeX XML Cite \textit{D. Guo}, Forum Math. 32, No. 6, 1407--1414 (2020; Zbl 1459.05015) Full Text: DOI
Riddlesden, Connor Generalised Fibonacci sequences under modular arithmetic. (English) Zbl 07316526 Undergrad. Math J. 21, No. 1, Paper No. 10, 18 p. (2020). MSC: 11B39 PDF BibTeX XML Cite \textit{C. Riddlesden}, Undergrad. Math J. 21, No. 1, Paper No. 10, 18 p. (2020; Zbl 07316526) Full Text: Link