Zouareg, Yahia; Benoumhani, Moussa On a conjecture of Heim and Neuhauser on some polynomials arising from modular forms and related to Fibonacci polynomials. (English) Zbl 07510931 Ramanujan J. 58, No. 1, 183-201 (2022). MSC: 11B39 11B65 26C10 PDF BibTeX XML Cite \textit{Y. Zouareg} and \textit{M. Benoumhani}, Ramanujan J. 58, No. 1, 183--201 (2022; Zbl 07510931) Full Text: DOI OpenURL
Somasunderam, Naveen A LeVeque-type inequality on the ring of \(p\)-adic integers. (English) Zbl 07505290 Int. J. Number Theory 18, No. 3, 655-671 (2022). MSC: 11B99 11K38 11S82 37P99 43A75 PDF BibTeX XML Cite \textit{N. Somasunderam}, Int. J. Number Theory 18, No. 3, 655--671 (2022; Zbl 07505290) Full Text: DOI OpenURL
Lagheliel, Saida; Chillali, Abdelhakim; Mokhtar, Ahmed Ait New encryption scheme using \(k\)-Fibonacci-like sequence. (English) Zbl 07490799 Asian-Eur. J. Math. 15, No. 2, Article ID 2250037, 10 p. (2022). MSC: 11T71 11B39 94A60 11G05 PDF BibTeX XML Cite \textit{S. Lagheliel} et al., Asian-Eur. J. Math. 15, No. 2, Article ID 2250037, 10 p. (2022; Zbl 07490799) Full Text: DOI OpenURL
Hashemi, M.; Mehraban, E. The generalized order \(k\)-Pell sequences in some special groups of nilpotency class 2. (English) Zbl 07488697 Commun. Algebra 50, No. 4, 1768-1784 (2022). MSC: 11B39 20F05 20D60 PDF BibTeX XML Cite \textit{M. Hashemi} and \textit{E. Mehraban}, Commun. Algebra 50, No. 4, 1768--1784 (2022; Zbl 07488697) Full Text: DOI OpenURL
Shallit, Jeffrey Sumsets of Wythoff sequences, Fibonacci representation, and beyond. (English) Zbl 07479498 Period. Math. Hung. 84, No. 1, 37-46 (2022). MSC: 11B85 68Q45 11A63 PDF BibTeX XML Cite \textit{J. Shallit}, Period. Math. Hung. 84, No. 1, 37--46 (2022; Zbl 07479498) Full Text: DOI arXiv OpenURL
Bazzanella, Danilo; Di Scala, Antonio; Dutto, Simone; Murru, Nadir Primality tests, linear recurrent sequences and the Pell equation. (English) Zbl 07472669 Ramanujan J. 57, No. 2, 755-768 (2022). Reviewer: Juan Tena Ayuso (Valladolid) MSC: 11Y11 11B39 PDF BibTeX XML Cite \textit{D. Bazzanella} et al., Ramanujan J. 57, No. 2, 755--768 (2022; Zbl 07472669) Full Text: DOI arXiv OpenURL
Nguyen Xuan Tho Solutions to a Lebesgue-Nagell equation. (English) Zbl 07461964 Bull. Aust. Math. Soc. 105, No. 1, 19-30 (2022). Reviewer: Ismail Naci Cangül (Bursa) MSC: 11D61 11D72 11B39 PDF BibTeX XML Cite \textit{Nguyen Xuan Tho}, Bull. Aust. Math. Soc. 105, No. 1, 19--30 (2022; Zbl 07461964) Full Text: DOI OpenURL
Sanna, Carlo On the number of residues of linear recurrences. (English) Zbl 07456315 Res. Number Theory 8, No. 1, Paper No. 7, 10 p. (2022). MSC: 11B37 11B39 11B50 11-XX PDF BibTeX XML Cite \textit{C. Sanna}, Res. Number Theory 8, No. 1, Paper No. 7, 10 p. (2022; Zbl 07456315) Full Text: DOI arXiv OpenURL
Idrissi, Kaissar; Zerouali, El Hassan Recursiveness approach to multi-dimensional moment problems. (English) Zbl 07428144 Ann. Funct. Anal. 13, No. 1, Paper No. 2, 19 p. (2022). MSC: 47A57 44A60 47B20 PDF BibTeX XML Cite \textit{K. Idrissi} and \textit{E. H. Zerouali}, Ann. Funct. Anal. 13, No. 1, Paper No. 2, 19 p. (2022; Zbl 07428144) Full Text: DOI OpenURL
Bousla, Sid Ali On the least common multiple of binary linear recurrence sequences. (English) Zbl 07524087 Rocky Mt. J. Math. 51, No. 5, 1583-1597 (2021). MSC: 11A05 11B39 11B83 11B65 PDF BibTeX XML Cite \textit{S. A. Bousla}, Rocky Mt. J. Math. 51, No. 5, 1583--1597 (2021; Zbl 07524087) Full Text: DOI Link OpenURL
Uslu, Kemal; Arslan, Barış The number of subsets of the set \([n]\) containing no two consecutive even integers. (English) Zbl 07523042 JP J. Algebra Number Theory Appl. 52, No. 2, 243-254 (2021). MSC: 11B30 11B39 PDF BibTeX XML Cite \textit{K. Uslu} and \textit{B. Arslan}, JP J. Algebra Number Theory Appl. 52, No. 2, 243--254 (2021; Zbl 07523042) Full Text: DOI OpenURL
Tiebekabe, Pagdame; Diouf, Ismaïla Powers of three as difference of two Fibonacci numbers \(F_n-F_m=3^p)\). (English) Zbl 07523001 JP J. Algebra Number Theory Appl. 49, No. 2, 185-196 (2021). MSC: 11B39 11J86 11D61 PDF BibTeX XML Cite \textit{P. Tiebekabe} and \textit{I. Diouf}, JP J. Algebra Number Theory Appl. 49, No. 2, 185--196 (2021; Zbl 07523001) Full Text: DOI OpenURL
Irmak, Nurettin On square tribonacci Lucas numbers. (English) Zbl 07517253 Hacet. J. Math. Stat. 50, No. 6, 1652-1657 (2021). MSC: 11B39 11D72 PDF BibTeX XML Cite \textit{N. Irmak}, Hacet. J. Math. Stat. 50, No. 6, 1652--1657 (2021; Zbl 07517253) Full Text: DOI OpenURL
Bhoi, K.; Ray, P. Repdigits as difference of two Fibonacci or Lucas numbers. (English) Zbl 07509978 Mat. Stud. 56, No. 2, 124-132 (2021). MSC: 11B39 11J86 11D61 PDF BibTeX XML Cite \textit{K. Bhoi} and \textit{P. Ray}, Mat. Stud. 56, No. 2, 124--132 (2021; Zbl 07509978) Full Text: DOI OpenURL
Trojovský, Pavel On the characteristic polynomial of \((k,p)\)-Fibonacci sequence. (English) Zbl 07485423 Adv. Difference Equ. 2021, Paper No. 28, 9 p. (2021). MSC: 11B39 11C08 11N56 11B83 PDF BibTeX XML Cite \textit{P. Trojovský}, Adv. Difference Equ. 2021, Paper No. 28, 9 p. (2021; Zbl 07485423) Full Text: DOI OpenURL
Baiocchi, Claudio; Komornik, Vilmos; Loreti, Paola Fibonacci expansions. (English) Zbl 07473885 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 32, No. 3, 379-389 (2021). MSC: 11A63 11B39 PDF BibTeX XML Cite \textit{C. Baiocchi} et al., Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 32, No. 3, 379--389 (2021; Zbl 07473885) Full Text: DOI arXiv OpenURL
Guyer, Dan; Aba, Mbirika GCD of sums of \(k\) consecutive Fibonacci, Lucas, and generalized Fibonacci numbers. (English) Zbl 07471016 J. Integer Seq. 24, No. 9, Article 21.9.8, 25 p. (2021). MSC: 11B39 11A05 11B50 PDF BibTeX XML Cite \textit{D. Guyer} and \textit{M. Aba}, J. Integer Seq. 24, No. 9, Article 21.9.8, 25 p. (2021; Zbl 07471016) Full Text: arXiv Link OpenURL
Belbachir, Hacène; Salhi, Celia The generalized bi-periodic Fibonacci sequence modulo \(m\). (English) Zbl 07471012 J. Integer Seq. 24, No. 9, Article 21.9.4, 13 p. (2021). MSC: 11B39 PDF BibTeX XML Cite \textit{H. Belbachir} and \textit{C. Salhi}, J. Integer Seq. 24, No. 9, Article 21.9.4, 13 p. (2021; Zbl 07471012) Full Text: Link OpenURL
Paul, Neeraj Kumar; Saikia, Helen K. Some generalized results related to Fibonacci sequence. (English) Zbl 07469771 Proyecciones 40, No. 3, 605-617 (2021). MSC: 11B39 PDF BibTeX XML Cite \textit{N. K. Paul} and \textit{H. K. Saikia}, Proyecciones 40, No. 3, 605--617 (2021; Zbl 07469771) Full Text: DOI OpenURL
Bellini, Emanuele; Marcolla, Chiara; Murru, Nadir On the decoding of 1-Fibonacci error correcting codes. (English) Zbl 07467906 Discrete Math. Algorithms Appl. 13, No. 5, Article ID 2150056, 18 p. (2021). MSC: 94B35 94B60 94B40 11B39 PDF BibTeX XML Cite \textit{E. Bellini} et al., Discrete Math. Algorithms Appl. 13, No. 5, Article ID 2150056, 18 p. (2021; Zbl 07467906) Full Text: DOI arXiv OpenURL
Tanackov, Ilija; Pavkov, Ivan; Dupljanin, Đorđije; Zivlak, Nikola Algebraic approach to univariate polynomial derivation. (English) Zbl 1482.11026 Georgian Math. J. 28, No. 6, 981-988 (2021). Reviewer: Vladimir P. Kostov (Nice) MSC: 11B39 PDF BibTeX XML Cite \textit{I. Tanackov} et al., Georgian Math. J. 28, No. 6, 981--988 (2021; Zbl 1482.11026) Full Text: DOI OpenURL
He, Tian-Xiao; Shiue, Peter J.-S. Identities for linear recursive sequences of order 2. (English) Zbl 07438942 Electron Res. Arch. 29, No. 5, 3489-3507 (2021). MSC: 11B39 11B83 05A19 05A05 05A15 PDF BibTeX XML Cite \textit{T.-X. He} and \textit{P. J. S. Shiue}, Electron Res. Arch. 29, No. 5, 3489--3507 (2021; Zbl 07438942) Full Text: DOI OpenURL
Badidja, Salim; Mokhtar, Ahmed Ait; Özer, Özen Representation of integers by \(k\)-generalized Fibonacci sequences and applications in cryptography. (English) Zbl 1482.11020 Asian-Eur. J. Math. 14, No. 9, Article ID 2150157, 11 p. (2021). MSC: 11B39 11B83 94A60 PDF BibTeX XML Cite \textit{S. Badidja} et al., Asian-Eur. J. Math. 14, No. 9, Article ID 2150157, 11 p. (2021; Zbl 1482.11020) Full Text: DOI OpenURL
Demirci, Musa; Ozbek, Aydin; Akbayrak, Osman; Cangul, Ismail Naci Lucas graphs. (English) Zbl 1475.05028 J. Appl. Math. Comput. 65, No. 1-2, 93-106 (2021). MSC: 05C07 05C10 05C30 05C69 PDF BibTeX XML Cite \textit{M. Demirci} et al., J. Appl. Math. Comput. 65, No. 1--2, 93--106 (2021; Zbl 1475.05028) Full Text: DOI OpenURL
Erazo, Harold S.; Gómez, Carlos An exponential Diophantine equation related to the sum of powers of two consecutive terms of a Lucas sequence and \(x\)-coordinates of Pell equations. (English) Zbl 07434713 Period. Math. Hung. 83, No. 2, 165-184 (2021). Reviewer: Oto Strauch (Bratislava) MSC: 11B39 11J86 PDF BibTeX XML Cite \textit{H. S. Erazo} and \textit{C. Gómez}, Period. Math. Hung. 83, No. 2, 165--184 (2021; Zbl 07434713) Full Text: DOI OpenURL
Anatriello, Giuseppina; Vincenzi, Giovanni An extension of Lucas identity via Pascal’s triangle. (English) Zbl 07426809 Hacet. J. Math. Stat. 50, No. 3, 647-658 (2021). MSC: 05A19 65Q30 11Y55 03D20 11B39 PDF BibTeX XML Cite \textit{G. Anatriello} and \textit{G. Vincenzi}, Hacet. J. Math. Stat. 50, No. 3, 647--658 (2021; Zbl 07426809) Full Text: DOI OpenURL
Meher, N. K.; Rout, S. S. Multiple Lucas-Dirichlet series associated with additive and Dirichlet characters. (English) Zbl 1474.11154 Mediterr. J. Math. 18, No. 6, Paper No. 262, 21 p. (2021). MSC: 11M41 11B39 30B50 PDF BibTeX XML Cite \textit{N. K. Meher} and \textit{S. S. Rout}, Mediterr. J. Math. 18, No. 6, Paper No. 262, 21 p. (2021; Zbl 1474.11154) Full Text: DOI arXiv OpenURL
Bravo, Eric F.; Bravo, Jhon J. Some arithmetic functions of factorials in Lucas sequences. (English) Zbl 07414937 Glas. Mat., III. Ser. 56, No. 1, 17-28 (2021). MSC: 11A25 11B39 PDF BibTeX XML Cite \textit{E. F. Bravo} and \textit{J. J. Bravo}, Glas. Mat., III. Ser. 56, No. 1, 17--28 (2021; Zbl 07414937) Full Text: DOI OpenURL
Frid, Anna E.; Laborde, Enzo; Peltomäki, Jarkko On prefix palindromic length of automatic words. (English) Zbl 07412737 Theor. Comput. Sci. 891, 13-23 (2021). MSC: 68Qxx PDF BibTeX XML Cite \textit{A. E. Frid} et al., Theor. Comput. Sci. 891, 13--23 (2021; Zbl 07412737) Full Text: DOI arXiv OpenURL
Bush, Michael R.; Quijada, Danjoseph Period sets of linear recurrences over finite fields and related commutative rings. (English) Zbl 1479.11041 Involve 14, No. 3, 361-376 (2021). Reviewer: Yansheng Wu (Nanjing) MSC: 11B50 11B37 11B39 94A55 PDF BibTeX XML Cite \textit{M. R. Bush} and \textit{D. Quijada}, Involve 14, No. 3, 361--376 (2021; Zbl 1479.11041) Full Text: DOI arXiv OpenURL
Sun, Zhi-Wei Supercongruences involving Lucas sequences. (English) Zbl 1479.11014 Monatsh. Math. 196, No. 3, 577-606 (2021). MSC: 11A07 11B65 05A10 11B39 11B75 PDF BibTeX XML Cite \textit{Z.-W. Sun}, Monatsh. Math. 196, No. 3, 577--606 (2021; Zbl 1479.11014) Full Text: DOI arXiv OpenURL
Farhadian, Reza; Jakimczuk, Rafael A note on two fundamental recursive sequences. (English) Zbl 1475.11030 Ann. Math. Sil. 35, No. 2, 172-183 (2021). MSC: 11B39 11B37 11K31 PDF BibTeX XML Cite \textit{R. Farhadian} and \textit{R. Jakimczuk}, Ann. Math. Sil. 35, No. 2, 172--183 (2021; Zbl 1475.11030) Full Text: DOI OpenURL
Tiebekabe, Pagdame; Diouf, Ismaïla Linear forms in logarithms and the mathematical method of Diophantine equations: applications in chemistry and physics. (English) Zbl 07402278 J. Math. Chem. 59, No. 9, 2009-2020 (2021). MSC: 11D99 11B39 92E20 70F15 PDF BibTeX XML Cite \textit{P. Tiebekabe} and \textit{I. Diouf}, J. Math. Chem. 59, No. 9, 2009--2020 (2021; Zbl 07402278) Full Text: DOI OpenURL
Cerda-Morales, Gamaliel An interesting generalized Fibonacci sequence: a two-by-two matrix representation. (English) Zbl 07394713 Afr. Mat. 32, No. 5-6, 695-705 (2021). MSC: 11B39 40C05 PDF BibTeX XML Cite \textit{G. Cerda-Morales}, Afr. Mat. 32, No. 5--6, 695--705 (2021; Zbl 07394713) Full Text: DOI OpenURL
Chu, Hùng Việt Partial sums of the Fibonacci sequence. (English) Zbl 07391644 Fibonacci Q. 59, No. 2, 132-135 (2021). MSC: 11B39 PDF BibTeX XML Cite \textit{H. V. Chu}, Fibonacci Q. 59, No. 2, 132--135 (2021; Zbl 07391644) Full Text: arXiv Link OpenURL
Shannon, A. G.; Ollerton, R. L. A note on Ledin’s summation problem. (English) Zbl 07391636 Fibonacci Q. 59, No. 1, 47-56 (2021). Reviewer: Uğur Duran (Iskenderun) MSC: 11B39 11B83 PDF BibTeX XML Cite \textit{A. G. Shannon} and \textit{R. L. Ollerton}, Fibonacci Q. 59, No. 1, 47--56 (2021; Zbl 07391636) Full Text: Link OpenURL
Gökçe, Fadime Paranormed spaces of absolute Lucas summable series and matrix operators. (English) Zbl 07389836 Facta Univ., Ser. Math. Inf. 36, No. 2, 259-274 (2021). MSC: 46A45 40C05 11B39 40F05 PDF BibTeX XML Cite \textit{F. Gökçe}, Facta Univ., Ser. Math. Inf. 36, No. 2, 259--274 (2021; Zbl 07389836) Full Text: DOI OpenURL
Sha, Min Zsigmondy’s theorem and primitive divisors of the Lucas and Lehmer sequences in polynomial rings. (English) Zbl 1481.11009 J. Algebra 586, 830-843 (2021). Reviewer: Thomas B. Ward (Newcastle) MSC: 11A41 11B39 11C08 PDF BibTeX XML Cite \textit{M. Sha}, J. Algebra 586, 830--843 (2021; Zbl 1481.11009) Full Text: DOI arXiv OpenURL
Adegoke, K.; Frontczak, R.; Goy, T. Special formulas involving polygonal numbers and Horadam numbers. (English) Zbl 1471.11031 Carpathian Math. Publ. 13, No. 1, 207-216 (2021). MSC: 11B37 11B39 PDF BibTeX XML Cite \textit{K. Adegoke} et al., Carpathian Math. Publ. 13, No. 1, 207--216 (2021; Zbl 1471.11031) Full Text: DOI OpenURL
Luca, Florian; Petho, Attila; Szalay, Laszlo Duplications In the \(k\)-generalized Fibonacci sequences. (English) Zbl 07382065 New York J. Math. 27, 1115-1133 (2021). MSC: 11B39 11D61 PDF BibTeX XML Cite \textit{F. Luca} et al., New York J. Math. 27, 1115--1133 (2021; Zbl 07382065) Full Text: Link OpenURL
Kawsumarng, Sutasinee; Khemaratchatakumthorn, Tammatada; Noppakaew, Passawan; Pongsriiam, Prapanpong Sumsets associated with Wythoff sequences and Fibonacci numbers. (English) Zbl 1474.11033 Period. Math. Hung. 82, No. 1, 98-113 (2021). Reviewer: Thomas B. Ward (Leeds) MSC: 11B13 11B39 PDF BibTeX XML Cite \textit{S. Kawsumarng} et al., Period. Math. Hung. 82, No. 1, 98--113 (2021; Zbl 1474.11033) Full Text: DOI OpenURL
Khelifa, A.; Halim, Y.; Berkal, M. On the solutions of a system of \((2p+1)\) difference equations of higher order. (English) Zbl 1474.39005 Miskolc Math. Notes 22, No. 1, 331-350 (2021). MSC: 39A10 11B39 PDF BibTeX XML Cite \textit{A. Khelifa} et al., Miskolc Math. Notes 22, No. 1, 331--350 (2021; Zbl 1474.39005) Full Text: DOI OpenURL
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 OpenURL
Eğecioğlu, Ömer; Iršič, Vesna Fibonacci-run graphs. II: Degree sequences. (English) Zbl 1465.05031 Discrete Appl. Math. 300, 56-71 (2021). MSC: 05C07 05C30 PDF BibTeX XML Cite \textit{Ö. Eğecioğlu} and \textit{V. Iršič}, Discrete Appl. Math. 300, 56--71 (2021; Zbl 1465.05031) Full Text: DOI arXiv OpenURL
Dababneh, Issa; Elmer, Mark; McCulloch, Ryan A golden penney game. (English) Zbl 1466.91065 J. Integer Seq. 24, No. 6, Article 21.6.2, 13 p. (2021). MSC: 91A60 91A05 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 1466.91065) Full Text: Link OpenURL
Noppakaew, Passawan; Prinyasart, Thanakorn Complete sequences of weighted \(r\)-generalized Fibonacci powers. (English) Zbl 1471.11074 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 1471.11074) Full Text: Link OpenURL
Dresden, Gregory; Tulskikh, Michael Tiling a \(2 \times n\) board with dominos and \(L\)-shaped trominos. (English) Zbl 1464.05037 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 1464.05037) Full Text: Link OpenURL
Chen, Yan; Liu, Yan Number of induced matchings of graphs. (English) Zbl 1464.05305 Acta Math. Appl. Sin., Engl. Ser. 37, No. 1, 35-47 (2021). MSC: 05C70 05C30 PDF BibTeX XML Cite \textit{Y. Chen} and \textit{Y. Liu}, Acta Math. Appl. Sin., Engl. Ser. 37, No. 1, 35--47 (2021; Zbl 1464.05305) Full Text: DOI OpenURL
Raza, Zahid; Bataineh, M. S.; Asim Ali, M. On the norms of some special matrices with Padovan and Pell-Padovan-like sequence. (English) Zbl 1474.15074 Jordan J. Math. Stat. 14, No. 1, 17-41 (2021). MSC: 15B05 15B36 11C20 11B39 PDF BibTeX XML Cite \textit{Z. Raza} et al., Jordan J. Math. Stat. 14, No. 1, 17--41 (2021; Zbl 1474.15074) Full Text: Link OpenURL
Shallit, Jeffrey Subword complexity of the Fibonacci-Thue-Morse sequence: the proof of Dekking’s conjecture. (English) Zbl 07337404 Indag. Math., New Ser. 32, No. 3, 729-735 (2021). Reviewer: Thomas B. Ward (Newcastle) MSC: 11B85 68R15 PDF BibTeX XML Cite \textit{J. Shallit}, Indag. Math., New Ser. 32, No. 3, 729--735 (2021; Zbl 07337404) Full Text: DOI arXiv OpenURL
Tichy, Robert; Vukusic, Ingrid; Yang, Daodao; Ziegler, Volker Integers representable as differences of linear recurrence sequences. (English) Zbl 1473.11079 Res. Number Theory 7, No. 2, Paper No. 24, 12 p. (2021). Reviewer: Ilker Inam (Bilecik) 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 1473.11079) Full Text: DOI arXiv OpenURL
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 OpenURL
Aldhuhouri, F. A. M. A.; Al Obeidli, M. M.; Leung, H. H. Some summation identities for Fibonacci quaternions and hyper-Fibonacci quaternions. (English) Zbl 1471.11042 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 1471.11042) OpenURL
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 OpenURL
Deveci, Ömür; Shannon, Anthony G. The complex-type \(k\)-Fibonacci sequences and their applications. (English) Zbl 1465.11058 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 1465.11058) Full Text: DOI OpenURL
Dekking, F. Michel The sum of digits functions of the Zeckendorf and the base phi expansions. (English) Zbl 07310531 Theor. Comput. Sci. 859, 70-79 (2021). MSC: 68Qxx PDF BibTeX XML Cite \textit{F. M. Dekking}, Theor. Comput. Sci. 859, 70--79 (2021; Zbl 07310531) Full Text: DOI arXiv OpenURL
Andrica, Dorin; Bagdasar, Ovidiu On some new arithmetic properties of the generalized Lucas sequences. (English) Zbl 1472.11041 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 1472.11041) Full Text: DOI OpenURL
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 OpenURL
Panda, Gopal Krishna; Pradhan, Sushree Sangeeta Associate sequences of a balancing-like sequence. (English) Zbl 07523836 Math. Rep., Buchar. 22(72), No. 3-4, 277-291 (2020). MSC: 11B39 11B83 PDF BibTeX XML Cite \textit{G. K. Panda} and \textit{S. S. Pradhan}, Math. Rep., Buchar. 22(72), No. 3--4, 277--291 (2020; Zbl 07523836) OpenURL
Onphaeng, Kritkhajohn; Pongsriiam, Prapanpong Exact divisibility by powers of the integers in the Lucas sequence of the first kind. (English) Zbl 07515100 AIMS Math. 5, No. 6, 6739-6748 (2020). MSC: 11B39 11B37 11A05 PDF BibTeX XML Cite \textit{K. Onphaeng} and \textit{P. Pongsriiam}, AIMS Math. 5, No. 6, 6739--6748 (2020; Zbl 07515100) Full Text: DOI OpenURL
Stević, Stevo; Iričanin, Bratislav; Kosmala, Witold; Šmarda, Zdeněk Note on some representations of general solutions to homogeneous linear difference equations. (English) Zbl 07506590 Adv. Difference Equ. 2020, Paper No. 486, 12 p. (2020). MSC: 39A10 PDF BibTeX XML Cite \textit{S. Stević} et al., Adv. Difference Equ. 2020, Paper No. 486, 12 p. (2020; Zbl 07506590) Full Text: DOI OpenURL
Trojovský, Pavel On some properties of a meta-Fibonacci sequence connected to Hofstadter sequence and Möbius function. (English) Zbl 07501234 Chaos Solitons Fractals 134, Article ID 109708, 6 p. (2020). MSC: 11B37 11B39 11N25 PDF BibTeX XML Cite \textit{P. Trojovský}, Chaos Solitons Fractals 134, Article ID 109708, 6 p. (2020; Zbl 07501234) Full Text: DOI OpenURL
Korniłowicz, Artur Partial correctness of a Fibonacci algorithm. (English) Zbl 07488869 Formaliz. Math. 28, No. 2, 187-196 (2020). MSC: 68V20 68Q60 03B70 03B35 PDF BibTeX XML Cite \textit{A. Korniłowicz}, Formaliz. Math. 28, No. 2, 187--196 (2020; Zbl 07488869) Full Text: DOI OpenURL
Trojovský, Pavel Some problems related to the growth of \(z(n)\). (English) Zbl 1482.11134 Adv. Difference Equ. 2020, Paper No. 270, 9 p. (2020). MSC: 11N56 11B39 11N37 11Y70 PDF BibTeX XML Cite \textit{P. Trojovský}, Adv. Difference Equ. 2020, Paper No. 270, 9 p. (2020; Zbl 1482.11134) Full Text: DOI OpenURL
Wu, Weicai 3 order Fibonacci-Lucas matrices. (English) Zbl 07479640 Univers. J. Math. Math. Sci. 13, No. 1, 33-39 (2020). MSC: 15B36 11C20 11B39 PDF BibTeX XML Cite \textit{W. Wu}, Univers. J. Math. Math. Sci. 13, No. 1, 33--39 (2020; Zbl 07479640) Full Text: DOI OpenURL
Deveci, Ömür On the Sylvester-Fibonacci sequences. (English) Zbl 07478543 Ars Comb. 153, 301-326 (2020). MSC: 11K31 11B50 20F05 11C20 20D60 PDF BibTeX XML Cite \textit{Ö. Deveci}, Ars Comb. 153, 301--326 (2020; Zbl 07478543) OpenURL
Kumar Paul, Neeraj; Saikia, Helen K. A generalization of Fibonacci sequence. (English) Zbl 1477.11035 Proyecciones 39, No. 6, 1393-1405 (2020). MSC: 11B39 PDF BibTeX XML Cite \textit{N. Kumar Paul} and \textit{H. K. Saikia}, Proyecciones 39, No. 6, 1393--1405 (2020; Zbl 1477.11035) Full Text: DOI OpenURL
Sugimoto, Takeshi The Kepler triangle and its kin. (English) Zbl 1479.51018 Forma 35, No. 1, 1-2 (2020). MSC: 51M04 51M15 PDF BibTeX XML Cite \textit{T. Sugimoto}, Forma 35, No. 1, 1--2 (2020; Zbl 1479.51018) Full Text: Link OpenURL
Németh, László Tilings of \((2 \times 2 \times n)\)-board with coloured cubes and bricks. (English) Zbl 1475.97043 Int. J. Math. Educ. Sci. Technol. 51, No. 5, 786-798 (2020). MSC: 97K20 05B45 05A19 11B39 52C22 PDF BibTeX XML Cite \textit{L. Németh}, Int. J. Math. Educ. Sci. Technol. 51, No. 5, 786--798 (2020; Zbl 1475.97043) Full Text: DOI arXiv OpenURL
Tan, Elif; Leung, Ho-Hon A note on congruence properties of the generalized bi-periodic Horadam sequence. (English) Zbl 07423931 Hacet. J. Math. Stat. 49, No. 6, 2084-2093 (2020). MSC: 11B39 05A15 PDF BibTeX XML Cite \textit{E. Tan} and \textit{H.-H. Leung}, Hacet. J. Math. Stat. 49, No. 6, 2084--2093 (2020; Zbl 07423931) Full Text: DOI arXiv OpenURL
Kara, Merve; Yazlik, Yasin; Tollu, Durhasan Turgut Solvability of a system of higher order nonlinear difference equations. (English) Zbl 07421896 Hacet. J. Math. Stat. 49, No. 5, 1566-1593 (2020). MSC: 39A10 39A20 39A23 11B39 PDF BibTeX XML Cite \textit{M. Kara} et al., Hacet. J. Math. Stat. 49, No. 5, 1566--1593 (2020; Zbl 07421896) Full Text: DOI OpenURL
Gökçe, Fadime; Sarigöl, Mehmet Ali Some matrix and compact operators of the absolute Fibonacci series spaces. (English) Zbl 07415803 Kragujevac J. Math. 44, No. 2, 273-286 (2020). MSC: 46A45 40C05 11B39 40D25 40F05 PDF BibTeX XML Cite \textit{F. Gökçe} and \textit{M. A. Sarigöl}, Kragujevac J. Math. 44, No. 2, 273--286 (2020; Zbl 07415803) Full Text: Link OpenURL
Kişi, Ömer On Fibonacci lacunary statistical convergence of double sequences in intuitionistic fuzzy normed linear spaces. (English) Zbl 1477.40003 Int. J. Adv. Appl. Math. Mech. 7, No. 4, 64-71 (2020). MSC: 40A35 40B05 26E50 40J05 PDF BibTeX XML Cite \textit{Ö. Kişi}, Int. J. Adv. Appl. Math. Mech. 7, No. 4, 64--71 (2020; Zbl 1477.40003) Full Text: Link OpenURL
Soykan, Yüksel On binomial transform of the generalized reverse 3-primes sequence. (English) Zbl 1465.11065 Int. J. Adv. Appl. Math. Mech. 8, No. 2, 35-53 (2020). MSC: 11B39 11B83 PDF BibTeX XML Cite \textit{Y. Soykan}, Int. J. Adv. Appl. Math. Mech. 8, No. 2, 35--53 (2020; Zbl 1465.11065) Full Text: Link OpenURL
Petroudi, Seyyed Hossein Jafari; Pirouz, Maryam; Öztürk, Arzu Özkoç On some properties of particular Tetranacci sequences. (English) Zbl 1474.11051 J. Int. Math. Virtual Inst. 10, No. 2, 361-376 (2020). MSC: 11B39 15A18 11C20 PDF BibTeX XML Cite \textit{S. H. J. Petroudi} et al., J. Int. Math. Virtual Inst. 10, No. 2, 361--376 (2020; Zbl 1474.11051) Full Text: DOI OpenURL
Halici, Serpil; Karataş, Adnan On generalization of dual Fibonacci octonions. (English) Zbl 1464.11025 Hvedri, Inassaridze (ed.), Tbilisi – mathematics. Special issue on the 8th international Eurasian conference on mathematical sciences and applications, IECMSA-2019, August 27–30, 2019, Baku, Azerbaijan. Berlin: De Gruyter/Sciendo. Tbilisi Math. J. Collect. Spec. Issues 1, 59-67 (2020). MSC: 11B39 17A20 PDF BibTeX XML Cite \textit{S. Halici} and \textit{A. Karataş}, Tbilisi Math. J. Collect. Spec. Issues 1, 59--67 (2020; Zbl 1464.11025) Full Text: DOI OpenURL
Ostrov, Adi; Neftin, Danny; Berman, Avi; Elrazik, Reyad A. Polynomial values in Fibonacci sequences. (English) Zbl 07364860 Involve 13, No. 4, 597-605 (2020). MSC: 11B39 11C08 PDF BibTeX XML Cite \textit{A. Ostrov} et al., Involve 13, No. 4, 597--605 (2020; Zbl 07364860) Full Text: DOI OpenURL
Morini, Lorenzo; Tetik, Zafar Gokay; Shmuel, Gal; Gei, Massimiliano On the universality of the frequency spectrum and band-gap optimization of quasicrystalline-generated structured rods. (English) Zbl 1462.74085 Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 378, No. 2162, Article ID 20190240, 22 p. (2020). MSC: 74J10 74M25 74K10 PDF BibTeX XML Cite \textit{L. Morini} et al., Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 378, No. 2162, Article ID 20190240, 22 p. (2020; Zbl 1462.74085) Full Text: DOI Link OpenURL
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 OpenURL
Ghanmi, Nejib; Abu Muriefah, Fadwa S. On the Diophantine equation \(Cx^2+D=2y^q\). (English) Zbl 07345241 Ramanujan J. 53, No. 2, 389-397 (2020). Reviewer: Florian Luca (Johannesburg) MSC: 11D61 11D41 11Y50 PDF BibTeX XML Cite \textit{N. Ghanmi} and \textit{F. S. Abu Muriefah}, Ramanujan J. 53, No. 2, 389--397 (2020; Zbl 07345241) Full Text: DOI OpenURL
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 1471.11073 Ann. Math. Sil. 34, No. 2, 256-267 (2020). MSC: 11B39 PDF BibTeX XML Cite \textit{M. C. dos S. Mangueira} et al., Ann. Math. Sil. 34, No. 2, 256--267 (2020; Zbl 1471.11073) Full Text: DOI OpenURL
Koken, Fikri The GCD sequences of the altered Lucas sequences. (English) Zbl 1471.11070 Ann. Math. Sil. 34, No. 2, 222-240 (2020). MSC: 11B39 11B83 PDF BibTeX XML Cite \textit{F. Koken}, Ann. Math. Sil. 34, No. 2, 222--240 (2020; Zbl 1471.11070) Full Text: DOI OpenURL
Farhadian, Reza; Jakimczuk, Rafael Notes on a general sequence. (English) Zbl 1462.11059 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 1462.11059) Full Text: DOI OpenURL
Zhang, Xian A Gauss-Kuzmin-Lévy problem for random Fibonacci type sequences. (Chinese. English summary) Zbl 1474.11140 Math. Appl. 33, No. 4, 987-1001 (2020). MSC: 11K50 11B39 11J70 PDF BibTeX XML Cite \textit{X. Zhang}, Math. Appl. 33, No. 4, 987--1001 (2020; Zbl 1474.11140) OpenURL
Huber, Mark A probabilistic approach to the Fibonacci sequence. (English) Zbl 1465.11062 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 1465.11062) Full Text: DOI OpenURL
Ben Taher, Rajae; Rachidi, Mustapha 2-variable weighted shifts and recursiveness: toral Aluthge transform and subnormality. (English) Zbl 07317702 J. Anal. 28, No. 4, 1107-1126 (2020). MSC: 47B37 47B20 30C15 44A60 11B39 PDF BibTeX XML Cite \textit{R. Ben Taher} and \textit{M. Rachidi}, J. Anal. 28, No. 4, 1107--1126 (2020; Zbl 07317702) Full Text: DOI OpenURL
Austin, Jathan; Schneider, Lisa Generalized Fibonacci sequences in Pythagorean triple preserving matrices. (English) Zbl 1477.11029 Fibonacci Q. 58, No. 4, 340-350 (2020). Reviewer: Attila Bérczes (Debrecen) MSC: 11B39 11C20 11D09 15B36 PDF BibTeX XML Cite \textit{J. Austin} and \textit{L. Schneider}, Fibonacci Q. 58, No. 4, 340--350 (2020; Zbl 1477.11029) Full Text: Link OpenURL
Avdispahić, Muharem; Zejnulahi, Faruk An integer sequence with a divisibility property. (English) Zbl 1473.11060 Fibonacci Q. 58, No. 4, 321-327 (2020). Reviewer: Zhihong Sun (Huaian) MSC: 11B83 11B39 11P83 PDF BibTeX XML Cite \textit{M. Avdispahić} and \textit{F. Zejnulahi}, Fibonacci Q. 58, No. 4, 321--327 (2020; Zbl 1473.11060) Full Text: Link OpenURL
García, Jonathan; Gómez, Carlos A.; Luca, Florian On the zero-multiplicity of the \(k\)-generalized Fibonacci sequence. (English) Zbl 1464.11024 J. Difference Equ. Appl. 26, No. 11-12, 1564-1578 (2020). Reviewer: Mahadi Ddamulira (Kampala) MSC: 11B39 11D61 11J86 PDF BibTeX XML Cite \textit{J. García} et al., J. Difference Equ. Appl. 26, No. 11--12, 1564--1578 (2020; Zbl 1464.11024) Full Text: DOI OpenURL
Bastasz, Bob Lyndon words of a second-order recurrence. (English) Zbl 1467.11018 Fibonacci Q. 58, No. 5, 25-29 (2020). Reviewer: Michel Rigo (Liège) MSC: 11B39 11B50 68R15 PDF BibTeX XML Cite \textit{B. Bastasz}, Fibonacci Q. 58, No. 5, 25--29 (2020; Zbl 1467.11018) Full Text: Link OpenURL
Goy, T. P.; Sharyn, S. V. A note on Pell-Padovan numbers and their connection with Fibonacci numbers. (English) Zbl 1471.11068 Carpathian Math. Publ. 12, No. 2, 280-288 (2020). MSC: 11B39 11B83 11C20 PDF BibTeX XML Cite \textit{T. P. Goy} and \textit{S. V. Sharyn}, Carpathian Math. Publ. 12, No. 2, 280--288 (2020; Zbl 1471.11068) Full Text: DOI OpenURL
Yokura, Shoji A remark on periods of periodic sequences modulo \(m\). (English) Zbl 1459.11048 Integers 20, Paper A49, 15 p. (2020). MSC: 11B50 11B39 PDF BibTeX XML Cite \textit{S. Yokura}, Integers 20, Paper A49, 15 p. (2020; Zbl 1459.11048) Full Text: arXiv Link OpenURL
Cerda-Morales, Gamaliel On the third-order Horadam and geometric mean sequences. (English) Zbl 1471.11056 Indian J. Pure Appl. Math. 51, No. 3, 1133-1142 (2020). MSC: 11B39 PDF BibTeX XML Cite \textit{G. Cerda-Morales}, Indian J. Pure Appl. Math. 51, No. 3, 1133--1142 (2020; Zbl 1471.11056) Full Text: DOI arXiv OpenURL
Kişi, Ömer; Tuzcuoğlu, İbrahim Fibonacci lacunary statistical convergence in intuitionistic fuzzy \(n\)-normed linear spaces. (English) Zbl 1463.40026 Ann. Fuzzy Math. Inform. 20, No. 3, 207-222 (2020). MSC: 40A35 46S40 PDF BibTeX XML Cite \textit{Ö. Kişi} and \textit{İ. Tuzcuoğlu}, Ann. Fuzzy Math. Inform. 20, No. 3, 207--222 (2020; Zbl 1463.40026) Full Text: DOI OpenURL
Xue, Lin; Zhang, Zhizheng Extensions of an approach to generalized Fibonacci and Lucas numbers with binomial coefficients. (English) Zbl 1474.11055 Chin. Q. J. Math. 35, No. 1, 56-62 (2020). MSC: 11B39 11B65 05A10 05A19 PDF BibTeX XML Cite \textit{L. Xue} and \textit{Z. Zhang}, Chin. Q. J. Math. 35, No. 1, 56--62 (2020; Zbl 1474.11055) Full Text: DOI OpenURL
Catarino, Paula M. M. C.; Borges, Anabela On Leonardo numbers. (English) Zbl 1481.11016 Acta Math. Univ. Comen., New Ser. 89, No. 1, 75-86 (2020). Reviewer: Mohammad K. Azarian (Evansville) MSC: 11B39 PDF BibTeX XML Cite \textit{P. M. M. C. Catarino} and \textit{A. Borges}, Acta Math. Univ. Comen., New Ser. 89, No. 1, 75--86 (2020; Zbl 1481.11016) Full Text: Link OpenURL
Kocik, Jerzy Lens sequences. (English) Zbl 1471.11069 J. Integer Seq. 23, No. 11, Article 20.11.6, 36 p. (2020). MSC: 11B39 11B37 11B83 52C26 PDF BibTeX XML Cite \textit{J. Kocik}, J. Integer Seq. 23, No. 11, Article 20.11.6, 36 p. (2020; Zbl 1471.11069) Full Text: arXiv Link OpenURL
de Clercq, Adriaan A.; Luca, Florian; Martirosyan, Lilit; Matthis, Maria; Moree, Pieter; Stoumen, Max A.; Weiß, Melvin Binary recurrences for which powers of two are discriminating moduli. (English) Zbl 1471.11086 J. Integer Seq. 23, No. 11, Article 20.11.3, 10 p. (2020). MSC: 11B50 11A07 11B39 PDF BibTeX XML Cite \textit{A. A. de Clercq} et al., J. Integer Seq. 23, No. 11, Article 20.11.3, 10 p. (2020; Zbl 1471.11086) Full Text: arXiv Link OpenURL
Oğur, Oğuz Superposition operators on sequence spaces \(\ell_p(F)\) derived by using matrix of Fibonacci numbers. (English) Zbl 07273652 Linear Multilinear Algebra 68, No. 10, 2087-2098 (2020). MSC: 47H30 46A45 40A05 46B45 PDF BibTeX XML Cite \textit{O. Oğur}, Linear Multilinear Algebra 68, No. 10, 2087--2098 (2020; Zbl 07273652) Full Text: DOI OpenURL
Bennett, Curtis; Carrillo, Juan; Machacek, John; Sagan, Bruce E. Combinatorial interpretations of Lucas analogues of binomial coefficients and Catalan numbers. (English) Zbl 1451.05009 Ann. Comb. 24, No. 3, 503-530 (2020). MSC: 05A10 05A15 05A19 11B39 PDF BibTeX XML Cite \textit{C. Bennett} et al., Ann. Comb. 24, No. 3, 503--530 (2020; Zbl 1451.05009) Full Text: DOI arXiv OpenURL