The Fibonacci QuarterlyThe Official Journal of the Fibonacci Association Short Title: Fibonacci Q. Publisher: Fibonacci Association, Sun City, AZ ISSN: 0015-0517 Online: https://www.fq.math.ca/list-of-issues.html Comments: Journal; Indexed cover-to-cover; This journal is available open access. Documents Indexed: 3,029 Publications (since 1963) References Indexed: 53 Publications with 538 References. all top 5 Latest Issues 61, No. 3 (2023) 61, No. 2 (2023) 61, No. 1 (2023) 60, No. 5, Spec. Iss. 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N. S. 13 Đorđević, Gospava B. 13 Komatsu, Takao 13 Křížek, Michal 13 Philippou, Andreas N. 12 Alladi, Krishnaswami 12 Zhang, Zhizheng 11 Fielder, Daniel C. 11 Haukkanen, Pentti 11 Nyblom, Michael A. 11 Shallit, Jeffrey Outlaw 11 Webb, William A. 11 Young, Paul Thomas 10 Ando, Shiro 10 Brown, John L. jun. 10 Ewell, John A. 10 Hsu, Leetsch Charles 10 Lengyel, Tamás 10 Wall, Charles R. 9 Anderson, Peter Gordon 9 Chu, Hùng Việt 9 Greig, W. Elliott 9 Mahon, Brother J. M. 9 Marques, Diego 8 Ballot, Christian 8 Bunder, Martin W. 8 Chuan, Waifong 8 Cook, Charles K. 8 DeLeon, Morris Jack 8 Dilcher, Karl 8 Fennessey, Eric J. 8 Kennedy, Robert Edward 8 Lind, Douglas A. 8 Pongsriiam, Prapanpong 8 Szalay, László 8 Togbé, Alain 8 Williams, Hugh Cowie 8 Zhang, Wenpeng 8 Zhao, Fengzhen 7 Atanassov, Krassimir Todorov 7 Good, Irving John (Jack) 7 Grundman, Helen G. 7 Hagis, Peter jun. 7 Klarner, David Anthony 7 Lee, Jack Y. B. 7 Ollerton, Richard L. 7 Pethe, S. P. 7 Scoville, Richard A. 7 Shiue, Peter Jau-Shyong 7 Spickerman, William R. 7 Wang, Tianming 6 Church, C. A. jun. 6 Edwards, Kenneth 6 Fuller, Leonard E. 6 Hillman, Abraham P. 6 Jacobson, Eliot T. 6 Klaška, Jiří 6 Knopfmacher, Arnold 6 Liu, Guodong 6 Mizgerd, Clayton M. 6 Monzingo, M. G. 6 Mouline, Mehdi 6 Najar, Rudolph M. 6 Pla, Juan 6 Reiter, Clifford A. 6 Saeki, Osamu 6 Srinivasa Rao, B. 6 Stănică, Pantelimon ...and 1,823 more Authors all top 5 Fields 2,663 Number theory (11-XX) 691 Combinatorics (05-XX) 91 Special functions (33-XX) 78 Linear and multilinear algebra; matrix theory (15-XX) 59 Sequences, series, summability (40-XX) 55 Probability theory and stochastic processes (60-XX) 41 Computer science (68-XX) 38 Geometry (51-XX) 36 Difference and functional equations (39-XX) 32 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 31 Real functions (26-XX) 29 Information and communication theory, circuits (94-XX) 28 History and biography (01-XX) 27 Numerical analysis (65-XX) 22 General and overarching topics; collections (00-XX) 19 Field theory and polynomials (12-XX) 19 Functions of a complex variable (30-XX) 16 Group theory and generalizations (20-XX) 15 Dynamical systems and ergodic theory (37-XX) 13 Statistics (62-XX) 13 Biology and other natural sciences (92-XX) 12 Convex and discrete geometry (52-XX) 9 Approximations and expansions (41-XX) 7 Order, lattices, ordered algebraic structures (06-XX) 7 Operations research, mathematical programming (90-XX) 6 Algebraic geometry (14-XX) 6 Measure and integration (28-XX) 6 Mechanics of particles and systems (70-XX) 5 Mathematical logic and foundations (03-XX) 5 Commutative algebra (13-XX) 5 Integral transforms, operational calculus (44-XX) 4 General topology (54-XX) 4 Manifolds and cell complexes (57-XX) 4 Mathematics education (97-XX) 3 Ordinary differential equations (34-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 2 General algebraic systems (08-XX) 2 Nonassociative rings and algebras (17-XX) 2 Abstract harmonic analysis (43-XX) 2 Astronomy and astrophysics (85-XX) 1 \(K\)-theory (19-XX) 1 Partial differential equations (35-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 1,422 Publications have been cited 6,087 times in 3,422 Documents Cited by ▼ Year ▼ Some combinatorial identities of Bruckman - a systematic treatment with relation to the older literature. 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Zbl 0272.33004Hoggatt, V. E. jun.; Bicknell, Marjorie 27 1973 Binet’s formula for the Tribonacci sequence. Zbl 0486.10011Spickerman, W. R. 27 1982 Fibonacci sequences in finite groups. Zbl 0758.20006Knox, Steven W. 26 1992 Some doubly exponential sequences. Zbl 0277.10011Aho, A. V.; Sloane, N. J. A. 26 1973 The Fibonacci lattice. Zbl 0328.06007Stanley, Richard P. 26 1975 Some identities involving the Fibonacci polynomials. Zbl 1018.11008Yuan, Yi; Zhang, Wenpeng 26 2002 A second variation on a problem of Diophantus and Davenport. Zbl 0382.10011Jones, Burton W. 25 1978 Some identities involving the Euler and the central factorial numbers. Zbl 0919.11018Zhang, Wenpeng 25 1998 Jacobsthal representation polynomials. Zbl 0917.11009Horadam, A. F. 25 1997 Complex factorizations of the Fibonacci and Lucas numbers. Zbl 1056.11005Cahill, Nathan D.; D’Errico, John R.; Spence, John P. 24 2003 A history of the Fibonacci Q-matrix and a higher-dimensional problem. Zbl 0467.10009Gould, H. W. 24 1981 Factorizations and eigenvalues of Fibonacci and symmetric Fibonacci matrices. Zbl 1079.11012Lee, Gwang-Yeon; Kim, Jin-Soo; Lee, Sang-Gu 24 2002 Some results on Fibonacci quaternions. Zbl 0186.07801Iyer, Muthulakshmi R. 23 1969 Fibonacci notes. IV: \(q\)-Fibonacci polynomials. Zbl 0298.10010Carlitz, Leonard 22 1975 The \(p\)-adic valuation of Lucas sequences. Zbl 1400.11053Sanna, Carlo 22 2016 On weighted \(r\)-generalized Fibonacci sequences. Zbl 0886.11010Dubeau, François; Motta, Walter; Rachidi, Mustapha; Saeki, Osamu 22 1997 Divisibility properties of generalized Fibonacci polynomials. Zbl 0284.10003Hoggatt, Verner E. jun.; Long, Calvin T. 21 1974 Power digraphs modulo \(n\). Zbl 0936.05049Wilson, Brad 21 1998 Generalized quaternions of higher order. Zbl 0407.10014Iakin, I. L. 21 1977 The g.c.d. in Lucas sequences and Lehmer number sequences. Zbl 0732.11008McDaniel, Wayne L. 20 1991 Fibonacci notes. III: \(q\)-Fibonacci numbers. Zbl 0292.10010Carlitz, Leonard 20 1974 The number of orderings of n candidates when ties are permitted. Zbl 0299.05009Good, I. J. 20 1975 The relation of the period modulo to the rank of apparition of m in the Fibonacci sequence. Zbl 0116.03302Vinson, John 20 1963 Square Fibonacci numbers, etc. Zbl 0126.07201Cohn, John H. E. 20 1964 Fibonacci cubes are the resonance graphs of Fibonaccenes. Zbl 1079.05094Klavžar, Sandi; Žigert, Petra 20 2005 Derived sequences, the Tribonacci recurrence and cubic forms. Zbl 1001.11008Elia, Michele 20 2001 On m-th order linear recurrences. Zbl 0574.10016Levesque, Claude 19 1985 Projective maps of linear recurring sequences with maximal \(p\)-adic periods. Zbl 0761.11007Huang, Minqiang; Dai, Zongduo 19 1992 General Fibonacci sequences in finite groups. Zbl 1006.11500Aydin, Hüseyin; Dikici, Ramazan 19 1998 Sequences, paths, ballot numbers. Zbl 0257.05001Carlitz, Leonard 19 1972 Fibonacci and Lucas numbers as tridiagonal matrix determinants. Zbl 1080.11014Cahill, Nathan D.; Narayan, Darren A. 19 2004 On the divisibility properties of Fibonacci numbers. Zbl 0147.02202Halton, J. H. 19 1966 Some results concerning polyominoes. Zbl 0128.24504Klarner, D. A. 18 1965 Divisibility properties of Fibonacci polynomials. Zbl 0211.37303Webb, W. A.; Parberry, E. A. 18 1969 Some identities for \(r\)-Fibonacci numbers. Zbl 1264.11008Howard, F. T.; Cooper, Curtis 18 2011 Longest success runs and Fibonacci-type polynomials. Zbl 0575.60022Philippou, Andreas N.; Makri, Frosso S. 17 1985 Invariant sequences under binomial transformation. Zbl 0987.05013Sun, Zhihong 17 2001 On the Fibonacci numbers of trees. Zbl 1133.11011Zhao, Haixing; Li, Xueliang 17 2006 Complex Fibonacci numbers. Zbl 0446.10010Harman, C. J. 17 1981 Second derivative sequences of Fibonacci and Lucas polynomials. Zbl 0779.11009Filipponi, Piero; Horadam, Alwyn F. 17 1993 Some information about the binomial transform. Zbl 0818.05002Prodinger, Helmut 17 1994 Generalized quaternions with quaternion components. Zbl 0407.10015Iakin, I. L. 17 1977 Digraphs from powers modulo \(p\). Zbl 0855.05067Lucheta, Caroline; Miller, Eli; Reiter, Clifford 17 1996 Some identities involving the Fibonacci numbers and Lucas numbers. Zbl 1052.11012Zhang, Wenpeng 17 2004 The bracket function and Fontené-Ward generalized binomial coefficients with application to Fibonomial coefficients. Zbl 0191.32702Gould, H. W. 17 1969 Vieta polynomials. Zbl 1090.11012Horadam, A. F. 17 2002 Derivative polynomials for tanh, tan, sech and sec in explicit form. Zbl 1205.11026Boyadzhiev, Khristo N. 17 2007 On some properties of Humbert’s polynomials. Zbl 0635.33006Milovanović, G. V.; Djordjević, G. 16 1987 Analytic continuation of the Fibonacci Dirichlet series. Zbl 1015.11045Navas, Luis 16 2001 The multiparameter noncentral Stirling numbers. Zbl 0802.05003El-Desouky, B. S. 16 1994 On \(X\)-coordinates of Pell equations that are repdigits. Zbl 1459.11082Faye, Bernadette; Luca, Florian 15 2018 Fibonacci words. Zbl 0758.68052Chuan, Wai-fong 15 1992 The Filbert matrix. Zbl 0994.11011Richardson, Thomas M. 15 2001 Associated Stirling numbers. Zbl 0443.10007Howard, F. T. 15 1980 On the divisibility by 2 of the Stirling numbers of the second kind. Zbl 0808.11017Lengyel, T. 15 1994 Congruences and recurrences for Bernoulli numbers of higher order. Zbl 0820.11009Howard, F. T. 15 1994 The Fibonacci matrix modulo m. Zbl 0116.03205Robinson, D. W. 15 1963 A remark related to the Frobenius problem. Zbl 0766.11014Brown, Tom C.; Shiue, Peter Jau-Shyong 14 1993 Gaussian Fibonacci numbers. Zbl 0363.10004Berzsenyi, George 14 1977 Bounds on the Fibonacci number of a maximal outerplanar graph. Zbl 0935.05055Alameddine, Ahmad Fawzi 14 1998 \(q\)-Fibonacci polynomials. Zbl 1027.11011Cigler, Johann 14 2003 Some remarks on the Bell numbers. Zbl 0426.10013Carlitz, Leonard 14 1980 Fibonacci-Lucas quasi-cyclic matrices. Zbl 1081.11011Lin, Dazheng 14 2002 The order of appearance of product of consecutive Fibonacci numbers. Zbl 1268.11025Marques, Diego 13 2012 Generalized Fibonacci polynomials. Zbl 0274.10022Hoggatt, V. E. jun.; Bicknell, Marjorie 13 1973 A primer on the Pell sequence and related sequences. Zbl 0319.10013Bicknell, Marjorie 13 1975 Generalized happy numbers. Zbl 1011.11008Grundman, H. G.; Teeple, E. A. 13 2001 Sums of the inverses of binomial coefficients. Zbl 0476.05011Rockett, Andrew M. 13 1981 A note on generalized Fibonacci numbers. Zbl 0834.11009Lee, Gwang-Yeon; Lee, Sang-Gu 13 1995 Fibonacci balancing numbers. Zbl 1067.11006Liptai, Kálmán; Kiss, Péter 13 2004 Gaussian Fibonacci and Lucas numbers. Zbl 0129.02405Jordan, J. H. 13 1965 Special properties of the sequence \(w_n(a,b; p,q)\). Zbl 0159.05504Horadam, A. F. 13 1967 The Binet formula and representations of \(k\)-generalized Fibonacci numbers. Zbl 0989.11008Lee, Gwang-Yeon; Lee, Sang-Gu; Kim, Jin-Soo; Shin, Hang-Kyun 13 2001 Sequence balancing and cobalancing numbers. Zbl 1214.11027Panda, G. K. 13 2007 Divisibility of generalized Fibonacci and Lucas numbers by their subscripts. Zbl 0737.11003André-Jeannin, Richard 12 1991 Some identities arising from the Fibonacci numbers of certain graphs. Zbl 0548.05035Hopkins, Glenn; Staton, William 12 1984 Combinatorial sums and series involving inverses of binomial coefficients. Zbl 0943.11014Trif, Tiberiu 12 2000 Dynamic one-pile Nim. Zbl 1093.91013Holshouser, Arthur; Reiter, Harold; Rudzinski, James 12 2003 Chebyshev and Fermat polynomials for diagonal functions. Zbl 0419.10013Horadam, A. F. 12 1979 Sums involving gibonacci polynomial squares. Zbl 1520.11024Koshy, Thomas 4 2023 Additional sums involving gibonacci polynomials. Zbl 1517.11014Koshy, Thomas 2 2023 Additional sums involving gibonacci polynomial squares. Zbl 07734736Koshy, Thomas 1 2023 Fibonacci or Lucas numbers that are concatenations of two \(g\)-repdigits. Zbl 1518.11016Adédji, Kouèssi Norbert; Filipin, Alan; Rihane, Salah Eddine; Togbé, Alain 1 2023 Infinite sums involving gibonacci polynomials. Zbl 1502.11028Koshy, Thomas 4 2022 Infinite sums involving gibonacci polynomials revisited. Zbl 1502.11029Koshy, Thomas 4 2022 Sums involving gibonacci polynomials. Zbl 1508.11025Koshy, Thomas 3 2022 Fibonacci along even powers is (almost) realizable. Zbl 1497.11045Moss, Patrick; Ward, Tom 2 2022 GCD of sums of \(k\) consecutive squares of generalized Fibonacci numbers. Zbl 1520.11028Mbirika, aBa; Spilker, Jürgen 1 2022 On the generalized Tribonacci zeta function. Zbl 07676373Smajlović, Lejla; Šabanac, Zenan; Šćeta, Lamija 1 2022 On the Hurwitz-type zeta function associated to the Lucas sequence. Zbl 07676374Smajlović, Lejla; Šabanac, Zenan; Šćeta, Lamija 1 2022 Sums related to the Fibonacci sequence. Zbl 1502.11027Kinlaw, Paul; Morris, Michael; Thiagarajan, Samanthak 1 2022 A method for uniformly proving a family of identities. Zbl 1502.11025Hendel, Russell Jay 1 2022 Anti-palindromic compositions. Zbl 1502.05002Andrews, George E.; Just, Matthew; Simay, Greg 1 2022 Infinite sums involving Jacobsthal polynomials. Zbl 1503.11035Koshy, Thomas 1 2022 Zigzag sequences and representations of integers. Zbl 1503.11014Campbell, H. E. A.; Wehlau, D. L. 1 2022 Generalized Schreier sets, linear recurrence relation, and Turán graphs. Zbl 1512.11020Beanland, Kevin; Chu, Hùng Việt; Finch-Smith, Carrie E. 1 2022 Partial sums of the Fibonacci sequence. Zbl 1483.11023Chu, Hùng Việt 3 2021 A simple bijective proof of a familiar derangement recurrence. Zbl 1483.05003Elizalde, Sergi 3 2021 In memoriam: Gerald E. Bergum. Zbl 1468.01010Bicknell-Johnson, Marjorie R. 2 2021 Exact divisibility by powers of the balancing and Lucas-balancing numbers. Zbl 1484.11053Patra, Asim; Panda, Gopal Krishna; Khemaratchatakumthorn, Tammatada 2 2021 Nondecreasing Deutsch paths. Zbl 1503.05006Prodinger, Helmut 1 2021 On generalized Zeckendorf decompositions and generalized golden strings. Zbl 1503.11025Chu, Hùng Việt 1 2021 A bijection for the Fibonomial coefficients. Zbl 1483.11025Killpatrick, Kendra; Weaver, Jordan 1 2021 How to add two natural numbers in base phi. Zbl 1483.11014Dekking, F. Michel 1 2021 A note on Ledin’s summation problem. Zbl 1486.11026Shannon, A. G.; Ollerton, R. L. 1 2021 Bernoulli and Faulhaber. Zbl 1483.11036Cereceda, José Luis 1 2021 Graph-theoretic confirmations of four sums of gibonacci polynomial products of order 4. Zbl 1483.11029Koshy, Thomas 1 2021 On the \(x\)-coordinates of Pell equations that are products of two Lucas numbers. Zbl 1467.11036Ddamulira, Mahadi 4 2020 Base phi representations and golden mean beta-expansions. Zbl 1460.11016Dekking, F. Michel 4 2020 A new combinatorial interpretation of the Fibonacci numbers squared. II. Zbl 1467.05020Edwards, Kenneth; Allen, Michael A. 3 2020 A new combinatorial interpretation of the Fibonacci numbers cubed. Zbl 1467.05030Edwards, Kenneth; Allen, Michael A. 3 2020 Markoff equation with Pell components. Zbl 1468.11090Kafle, Bir; Srinivasan, Anitha; Togbé, Alain 3 2020 Positive integer solutions of some Diophantine equations involving Lucas-balancing numbers. Zbl 1467.11037Patra, Asim; Panda, G. K. 2 2020 A tiling interpretation of the \(q\)-binomial coefficients. Zbl 1468.05010Azose, Jonathan J.; Benjamin, Arthur T. 2 2020 Counting on Euler and Bernoulli number identities. Zbl 1472.11073Benjamin, Arthur T.; Lentfer, John; Martinez, Thomas C. 2 2020 An introduction to completeness of positive linear recurrence sequences. Zbl 1465.11054Bołdyriew, Elżbieta; Haviland, John; Lâm, Phúc; Lentfer, John; Miller, Steven J.; Trejos Suárez, Fernando 2 2020 The Markoff-Fibonacci numbers. Zbl 1473.11042Srinivasan, Anitha 2 2020 On the sum of digits of the Zeckendorf representations of two consecutive numbers. Zbl 1468.11025Shutov, Anton 2 2020 Independence polynomials of Fibonacci trees are log-concave. Zbl 1475.05092Bautista-Ramos, César; Guillén-Galvácuten, Carlos; Gómez-Salgado, Paulino 1 2020 Another proof for partial strong divisibility property of Lucas-type polynomials. Zbl 1467.11021Flórez, Rigoberto; Higuita, Robinson A. 1 2020 Gaps of summands of the Zeckendorf lattice. Zbl 1468.11048Borade, Neelima; Cai, Dexter; Chang, David Z.; Fang, Bruce; Liang, Alex; Miller, Steven J.; Xu, Wanqiao 1 2020 Matrices in the determinant Hosoya triangle. Zbl 1470.11020Blair, Matthew; Flórez, Rigoberto; Mukherjee, Antara; Ramírez, José L. 1 2020 On periods of Fibonacci sequences and real quadratic \(p\)-rational fields. Zbl 1470.11021Bouazzaoui, Zakariae 1 2020 Linear independence of infinite products generated by the Lucas numbers. Zbl 1471.11218Duverney, Daniel; Tachiya, Yohei 1 2020 A note on Brousseau’s summation problem. Zbl 1470.11028Ollerton, R. L.; Shannon, A. G. 1 2020 New identities for some symmetric polynomials, and a higher order analogue of the Fibonacci and Lucas numbers. Zbl 1475.11032Shibukawa, Genki 1 2020 Girard-Waring type formula for a generalized Fibonacci sequence. Zbl 1467.11024Wang, Kai 1 2020 Central limit theorems for compound paths on the two-dimensional lattice. Zbl 1468.11052Fang, Evan; Jenkins, Jonathan; Lee, Zack; Li, Daniel; Lu, Ethan; Miller, Steven J.; Salgado, Dilhan; Siktar, Joshua M. 1 2020 Higher order Fibonacci sequences from generalized Schreier sets. Zbl 1468.11050Chu, Hùng Việt; Miller, Steven J.; Xiang, Zimu 1 2020 Powers of two in generalized Lucas sequences. Zbl 1468.11060Rihane, Salah Eddine; Faye, Bernadette; Luca, Florian; Togbé, Alain 1 2020 Congruences involving Euler numbers and power sums. Zbl 1468.11073McIntosh, Richard J. 1 2020 A family of lacunary recurrences for Lucas numbers. Zbl 1468.11059Mahanta, Pankaj Jyoti; Saikia, Manjil P. 1 2020 Sums of squares of Tetranacci numbers: a generating function approach. Zbl 1447.11032Prodinger, Helmut; Selkirk, Sarah J. 6 2019 Repdigits as products of balancing and Lucas-balancing numbers with indices in arithmetic progression. Zbl 1457.11016Rayaguru, Sai Gopal; Panda, Gopal Krishna 5 2019 Matrices in the Hosoya triangle. Zbl 1447.11021Blair, Matthew; Flórez, Rigoberto; Mukherjee, Antara 5 2019 How to sum the squares of the Tetranacci numbers and the Fibonacci \(m\)-step numbers. Zbl 1458.11041Schumacher, Raphael 4 2019 Arithmetic functions of Fibonacci and Lucas numbers. Zbl 1475.11031Jaidee, Montree; Pongsriiam, Prapanpong 4 2019 Combinatorial identities for the Padovan numbers. Zbl 1444.05021Tedford, Steven J. 4 2019 Fibonacci and Lucas numbers which have exactly three prime factors and some unique properties of \(F_{18}\) and \(L_{18}\). Zbl 1447.11031Pongsriiam, Prapanpong 4 2019 Unified tiling proofs of a family of Fibonacci identities. Zbl 1458.11031Benjamin, Arthur T.; Crouch, Joshua; Sellers, James A. 3 2019 The \(p\)-adic valuation of Lucas sequences when \(p\) is a special prime. Zbl 1447.11019Ballot, Christian 3 2019 A new combinatorial interpretation of the Fibonacci numbers squared. Zbl 1437.05043Edwards, Kenneth; Allen, Michael A. 3 2019 Generalizations of Hermite’s identity and applications. Zbl 1458.11005Aursukaree, Saralee; Khemaratchatakumthorn, Tammatada; Pongsriiam, Prapanpong 2 2019 Repdigits in Euler functions of Pell numbers. Zbl 1473.11009Sahukar, M. K.; Panda, G. K. 2 2019 Central limit theorems for gaps of generalized Zeckendorf decompositions. Zbl 1459.60062Li, Ray; Miller, Steven J. 2 2019 Diophantine equations with the Ramanujan \(\tau\) function of factorials, Fibonacci numbers, and Catalan numbers. Zbl 1456.11031Luca, Florian; Mabaso, Sibusiso 2 2019 Discovering Fibonacci numbers, Fibonacci words, and a Fibonacci fractal in the tower of Hanoi. Zbl 1447.11029Hinz, Andreas M.; Stockmeyer, Paul K. 2 2019 A non-linear recurrence identity class for terms of a generalized linear recurrence sequence of degree three. Zbl 1458.11027Larcombe, Peter J.; Fennessey, Eric J. 1 2019 Faulhaber and Bernoulli. Zbl 1458.11047Zielinski, Ryan 1 2019 Generalized metallic means. Zbl 1458.11033Gil, Juan B.; Worley, Aaron 1 2019 Non-classical linear divisibility sequences and cyclotomic polynomials. Zbl 1458.11038Koshkin, Sergiy 1 2019 A recurrence for Gibonacci cubes with graph-theoretic confirmations. Zbl 1458.11024Koshy, Thomas 1 2019 Linear recurring sequence subgroups in the complex field. II. Zbl 1458.11023Brison, Owen J.; Nogueira, J. Eurico 1 2019 “Choix de Bruxelles”: a new operation on positive integers. Zbl 1457.11014Angelini, Éric; Blomberg, Lars; Neder, Charlie; Sigrist, Rémy; Sloane, N. J. A. 1 2019 Gaussian behavior in Zeckendorf decompositions from lattices. Zbl 1456.11019Chen, Eric; Chen, Robin; Guo, Lucy; Jiang, Cindy; Miller, Steven J.; Siktar, Joshua M.; Yu, Peter 1 2019 Alternating offers bargaining and the golden ratio. Zbl 1445.91001Rachmilevitch, Shiran 1 2019 A family of nonlinear recurrences and their linear solutions. Zbl 1447.11013Alperin, Roger C. 1 2019 The generalized Zeckendorf game. Zbl 1445.91011Baird-Smith, Paul; Epstein, Alyssa; Flint, Kristen; Miller, Steven J. 1 2019 Some high degree generalized Fibonacci identities. Zbl 1447.11024Cooper, Curtis 1 2019 Connection coefficients for higher-order Bernoulli and Euler polynomials: a random walk approach. Zbl 1447.11037Jiu, Lin; Vignat, Christophe 1 2019 Global series for zeta functions. Zbl 1447.11096Young, Paul Thomas 1 2019 On \(X\)-coordinates of Pell equations that are repdigits. Zbl 1459.11082Faye, Bernadette; Luca, Florian 15 2018 Repdigits as products of consecutive balancing or Lucas-balancing numbers. Zbl 1443.11020Rayaguru, S. G.; Panda, G. K. 9 2018 Markov equation with Fibonacci components. Zbl 1458.11056Luca, Florian; Srinivasan, Anitha 5 2018 The converse of exact divisibility by powers of the Fibonacci and Lucas numbers. Zbl 1443.11017Onphaeng, Kritkhajohn; Pongsriiam, Prapanpong 5 2018 Sequences of consecutive happy numbers in negative bases. Zbl 1448.11016Grundman, Helen G.; Harris, Pamela E. 3 2018 Some Fibonacci-Lucas-Tribonacci-Lucas identities. Zbl 1448.11033Frontczak, Robert 3 2018 \(p\)-adic valuation of Lucas iteration sequences. Zbl 1443.11018Panraksa, Chatchawan; Tangboonduangjit, Aram 3 2018 Arithmetic functions of balancing numbers. Zbl 1448.11009Sahukar, Manasi Kumari; Panda, G. K. 2 2018 Weighted sums of some second-order sequences. Zbl 1448.11030Adegoke, Kunle 2 2018 Fibonacci-producing rational polynomials. Zbl 1443.11013Hopkins, Brian; Tangboonduangjit, Aram 2 2018 Some new identities for derangement numbers. Zbl 1440.05038Abel, Ulrich 2 2018 Conditional (strong) divisibility sequences. Zbl 1444.11033Sahin, Murat; Tan, Elif 1 2018 Donald Dines Wall’s conjecture. Zbl 1454.11042Klaška, Jiří 1 2018 On the \(D(4)\)-Diophantine triples of Fibonacci numbers. Zbl 1471.11122Rihane, Salah Eddine; Hernane, Mohand Ouamar; Togbé, Alain 1 2018 The sums of the consecutive Fibonacci numbers. Zbl 1448.11044Shtefan, Dmitriy; Dobrovolska, Irina 1 2018 Some Gibonacci convolutions with dividends. Zbl 1448.11041Koshy, Thomas; Griffiths, Martin 1 2018 The Pascal rhombus and Riordan arrays. Zbl 1443.11023Yang, Sheng-Liang; Gao, Yuan-Yuan 1 2018 Fibonacci and Lucas numbers which are one away from their products. Zbl 1401.11048Pongsriiam, Prapanpong 6 2017 ...and 870 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,593 Authors 75 Luca, Florian 44 Kilic, Emrah 41 Kim, Taekyun 37 Chu, Wenchang 37 Kim, Dae San 32 Togbé, Alain 27 Gómez, Carlos Alexis 27 Ramírez, José Luis 24 Prodinger, Helmut 23 Deveci, Ömür 22 Komatsu, Takao 22 Shallit, Jeffrey Outlaw 21 Bravo, Jhon Jairo 21 Keskin, Refik 21 Ray, Prasanta Kumar 21 Włoch, Iwona 20 Belbachir, Hacene 20 He, Tian-Xiao 20 Mansour, Toufik 20 Wagner, Stephan G. 18 Panda, Gopal Krishna 18 Sanna, Carlo 18 Soykan, Yüksel 17 Özkan, Engin 17 Shiue, Peter Jau-Shyong 17 Trojovský, Pavel 16 Dujella, Andrej 16 Marques, Diego 16 Rachidi, Mustapha 16 Shattuck, Mark A. 16 Szynal-Liana, Anetta 15 Dilcher, Karl 15 Fujita, Yasutsugu 15 Qi, Feng 15 Rihane, Salah Eddine 15 Simsek, Yilmaz 15 Szalay, László 14 Chuan, Waifong 14 Klavžar, Sandi 14 Omur, Nese 14 Srivastava, Hari Mohan 14 Sun, Zhi-Wei 13 Hsu, Leetsch Charles 13 Jiang, Zhaolin 13 Karaduman, Erdal 13 Koshy, Thomas 13 Miller, Steven J. 13 Qi, Wenfeng 13 Tasci, Dursun 13 Young, Paul Thomas 12 Bród, Dorota 12 Cerda-Morales, Gamaliel Cerda 12 Rout, Sudhansu Sekhar 12 Şiar, Zafer 11 Boussayoud, Ali 11 Cheon, Gi-Sang 11 Egecioglu, Omer 11 Irmak, Nurettin 11 Koparal, Sibel 11 Pongsriiam, Prapanpong 10 Bentaher, R. 10 Catarino, Paula Maria Machado Cruz 10 Cipu, Mihai 10 Dolgiĭ, Dmitriĭ Viktorovich 10 Flórez, Rigoberto 10 Goy, Taras P. 10 Haukkanen, Pentti 10 Larcombe, Peter J. 10 Mollard, Michel 10 Philippou, Andreas N. 10 Sun, Zhihong 10 Tan, Elif 9 Fennessey, Eric J. 9 Herrera, José L. 9 Lengyel, Tamás 9 Liu, Guodong 9 Rayaguru, Sai Gopal 9 Sagan, Bruce Eli 9 Saygı, Elif 9 Swamy, Sondekola Rudra 9 Taşkara, Necati 9 Ulas, Maciej 8 Akkus, Ilker 8 Andrews, George Eyre 8 Arıkan, Talha 8 Bozkurt, Durmuş 8 Dekking, Frederik Michel 8 El-Desouky, Beih S. 8 Frontczak, Robert 8 Jones, Lenny K. 8 Kızılateş, Can 8 Klaška, Jiří 8 Knopfmacher, Arnold 8 Liu, Wenan 8 Mező, István 8 Moll, Victor Hugo 8 Murru, Nadir 8 Rahmani, Mourad 8 Saygı, Zülfükar 8 Somer, Lawrence E. ...and 3,493 more Authors all top 5 Cited in 487 Journals 165 Journal of Number Theory 162 Discrete Mathematics 101 Integers 96 Journal of Integer Sequences 85 Discrete Applied Mathematics 80 Linear Algebra and its Applications 75 Applied Mathematics and Computation 64 Journal of Combinatorial Theory. Series A 61 Rocky Mountain Journal of Mathematics 51 The Ramanujan Journal 45 Advances in Difference Equations 45 International Journal of Number Theory 41 Turkish Journal of Mathematics 40 Journal of Mathematical Analysis and Applications 39 Theoretical Computer Science 39 Advances in Applied Mathematics 38 Periodica Mathematica Hungarica 37 European Journal of Combinatorics 34 Chaos, Solitons and Fractals 33 Mathematics of Computation 30 The Fibonacci Quarterly 28 Advances in Applied Clifford Algebras 27 Finite Fields and their Applications 27 Palestine Journal of Mathematics 24 Boletín de la Sociedad Matemática Mexicana. 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Académie des Sciences, Paris 8 Applicable Analysis and Discrete Mathematics 8 Cryptography and Communications 8 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 7 International Journal of Mathematical Education in Science and Technology 7 Functiones et Approximatio. Commentarii Mathematici ...and 387 more Journals all top 5 Cited in 60 Fields 2,342 Number theory (11-XX) 1,189 Combinatorics (05-XX) 277 Linear and multilinear algebra; matrix theory (15-XX) 215 Special functions (33-XX) 164 Computer science (68-XX) 136 Probability theory and stochastic processes (60-XX) 98 Numerical analysis (65-XX) 93 Group theory and generalizations (20-XX) 86 Functions of a complex variable (30-XX) 70 Information and communication theory, circuits (94-XX) 68 Dynamical systems and ergodic theory (37-XX) 62 Statistics (62-XX) 55 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 52 Real functions (26-XX) 47 Biology and other natural sciences (92-XX) 46 Difference and functional equations (39-XX) 45 Operations research, mathematical programming (90-XX) 40 Sequences, series, summability (40-XX) 37 Approximations and expansions (41-XX) 32 Commutative algebra (13-XX) 27 Ordinary differential equations (34-XX) 27 Harmonic analysis on Euclidean spaces (42-XX) 26 Order, lattices, ordered algebraic structures (06-XX) 26 Field theory and polynomials (12-XX) 23 Algebraic geometry (14-XX) 21 Convex and discrete geometry (52-XX) 20 Manifolds and cell complexes (57-XX) 19 Partial differential equations (35-XX) 19 Statistical mechanics, structure of matter (82-XX) 18 Operator theory (47-XX) 18 Geometry (51-XX) 16 Mathematics education (97-XX) 15 Associative rings and algebras (16-XX) 15 Quantum theory (81-XX) 14 Nonassociative rings and algebras (17-XX) 14 Measure and integration (28-XX) 13 Integral transforms, operational calculus (44-XX) 13 Integral equations (45-XX) 12 Mathematical logic and foundations (03-XX) 11 Functional analysis (46-XX) 10 General and overarching topics; collections (00-XX) 10 History and biography (01-XX) 6 Category theory; homological algebra (18-XX) 6 Algebraic topology (55-XX) 5 Potential theory (31-XX) 5 Systems theory; control (93-XX) 4 Abstract harmonic analysis (43-XX) 4 Differential geometry (53-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Mechanics of particles and systems (70-XX) 3 Fluid mechanics (76-XX) 3 Relativity and gravitational theory (83-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Astronomy and astrophysics (85-XX) 1 General algebraic systems (08-XX) 1 \(K\)-theory (19-XX) 1 Topological groups, Lie groups (22-XX) 1 General topology (54-XX) 1 Mechanics of deformable solids (74-XX) Citations by Year