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The Fibonacci Quarterly

The 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: 3,049 Publications (since 1963)
References Indexed: 74 Publications with 721 References.
all top 5

Latest Issues

62, No. 1 (2024)
61, No. 4 (2023)
61, No. 3 (2023)
61, No. 2 (2023)
61, No. 1 (2023)
60, No. 5, Spec. Iss. (2022)
60, No. 4 (2022)
60, No. 3 (2022)
60, No. 2 (2022)
60, No. 1 (2022)
59, No. 4 (2021)
59, No. 3 (2021)
59, No. 2 (2021)
59, No. 1 (2021)
58, No. 5 (2020)
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56, No. 4 (2018)
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48, No. 4 (2010)
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48, No. 2 (2010)
48, No. 1 (2010)
46-47, No. 4 (2009)
46-47, No. 3 (2009)
46-47, No. 2 (2009)
46-47, No. 1 (2009)
45, No. 4 (2007)
45, No. 3 (2007)
45, No. 2 (2007)
45, No. 1 (2007)
44, No. 4 (2006)
44, No. 3 (2006)
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44, No. 1 (2006)
43, No. 4 (2005)
43, No. 3 (2005)
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42, No. 4 (2004)
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42, No. 2 (2004)
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41, No. 5 (2003)
41, No. 4 (2003)
41, No. 3 (2003)
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41, No. 1 (2003)
40, No. 5 (2002)
40, No. 4 (2002)
40, No. 3 (2002)
40, No. 2 (2002)
40, No. 1 (2002)
39, No. 5 (2001)
39, No. 4 (2001)
39, No. 3 (2001)
39, No. 2 (2001)
39, No. 1 (2001)
38, No. 5 (2000)
38, No. 4 (2000)
38, No. 3 (2000)
...and 81 more Volumes
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Authors

105 Hoggatt, Verner E. jun.
87 Horadam, Alwyn Francis
61 Carlitz, Leonard
59 Koshy, Thomas
56 Melham, Raymond Samuel
54 Shannon, Anthony Greville
43 Bicknell-Johnson, Marjorie R.
41 Kimberling, Clark H.
36 Filipponi, Piero
36 Somer, Lawrence E.
35 Gould, Henry Wadsworth
34 Miller, Steven J.
30 Bicknell, Marjorie
30 Luca, Florian
30 Robbins, Neville
26 Prodinger, Helmut
22 Brousseau, Brother Alfred
21 Arkin, Joseph
20 Bergum, Gerald Edward
19 Bruckman, Paul S.
19 Hirschhorn, Michael D.
17 Howard, Fredric Timothy
17 Rachidi, Mustapha
16 André-Jeannin, Richard
16 Cooper, Curtis N.
16 Griffiths, Martin
16 Hendel, Russell Jay
16 Larcombe, Peter J.
16 Long, Calvin T.
15 Benjamin, Arthur T.
15 Panda, Gopal Krishna
14 McDaniel, Wayne L.
14 Swamy, M. N. S.
13 Đorđević, Gospava B.
13 Komatsu, Takao
13 Křížek, Michal
13 Philippou, Andreas N.
12 Alladi, Krishnaswami
12 Nyblom, Michael A.
12 Zhang, Zhizheng
11 Fielder, Daniel C.
11 Haukkanen, Pentti
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
9 Togbé, Alain
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 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 Stănică, Pantelimon
7 Wang, Tianming
6 Church, C. A. jun.
6 Edwards, Kenneth
6 Fuller, Leonard E.
6 Gao, Zhenguang
6 Hillman, Abraham P.
6 Jacobson, Eliot T.
6 Kilic, Emrah
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
...and 1,830 more Authors
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Fields

2,685 Number theory (11-XX)
693 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)
42 Computer science (68-XX)
38 Geometry (51-XX)
36 Difference and functional equations (39-XX)
35 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
32 Real functions (26-XX)
30 Information and communication theory, circuits (94-XX)
29 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

Citations contained in zbMATH Open

1,519 Publications have been cited 6,939 times in 3,833 Documents Cited by Year
Some combinatorial identities of Bruckman - a systematic treatment with relation to the older literature. Zbl 0263.05013
Gould, H. W.
129
1972
Basic properties of a certain generalized sequence of numbers. Zbl 0131.04103
Horadam, A. F.
99
1965
Fibonacci numbers of graphs. Zbl 0475.05046
Prodinger, Helmut; Tichy, Robert F.
97
1982
Pell and Pell-Lucas polynomials. Zbl 0557.10011
Horadam, Alwyn F.; Mahon, Brother J. M.
75
1985
On the square roots of triangular numbers. Zbl 0962.11014
Behera, A.; Panda, G. K.
74
1999
Weighted Stirling numbers of the first and second kind. I. Zbl 0428.05003
Carlitz, Leonard
74
1980
Solving generalized Fibonacci recurrences. Zbl 0911.11014
Wolfram, D. A.
65
1998
Jacobsthal representation numbers. Zbl 0869.11013
Horadam, A. F.
55
1996
A note on Fibonacci quaternions. Zbl 0191.32701
Iyer, Mathulakshmi R.
54
1969
Generalized Fibonacci numbers by matrix methods. Zbl 0472.10016
Kalman, Dan
52
1982
On Euler’s solution of a problem of Diophantus. Zbl 0418.10021
Arkin, Joseph; Hoggatt, V. E. jun.; Straus, E. G.
42
1979
The Girard-Waring power sum formulas for symmetric functions and Fibonacci sequences. Zbl 0944.05007
Gould, Henry W.
41
1999
On the Lucas cubes. Zbl 0987.05048
Munarini, Emanuele; Perelli Cippo, Claudio; Zagaglia Salvi, Norma
41
2001
On generalized Fibonacci quaternions. Zbl 0281.10006
Swamy, M. N. S.
40
1973
The order of the Fibonacci and Lucas numbers. Zbl 0838.11011
Lengyel, T.
37
1995
On the sum of reciprocal Fibonacci numbers. Zbl 1177.11018
Ohtsuka, Hideyuki; Nakamura, Shigeru
37
2009
Jacobsthal representation polynomials. Zbl 0917.11009
Horadam, A. F.
33
1997
Weighted Stirling numbers of the first and second kind. II. Zbl 0441.05003
Carlitz, Leonard
33
1980
Binet’s formula for the Tribonacci sequence. Zbl 0486.10011
Spickerman, W. R.
31
1982
Sums of Fibonacci numbers by matrix methods. Zbl 0539.10013
Er, M. C.
31
1984
Fibonacci sequences of period \(n\) in groups. Zbl 0603.10011
Wilcox, Howard J.
31
1986
Roots of Fibonacci polynomials. Zbl 0272.33004
Hoggatt, V. E. jun.; Bicknell, Marjorie
30
1973
Some doubly exponential sequences. Zbl 0277.10011
Aho, A. V.; Sloane, N. J. A.
30
1973
The Fibonacci lattice. Zbl 0328.06007
Stanley, Richard P.
29
1975
Vieta polynomials. Zbl 1090.11012
Horadam, A. F.
29
2002
Several identities involving the Fibonacci numbers and Lucas numbers. Zbl 1173.11305
Ma, Rong; Zhang, Wenpeng
29
2007
Fibonacci sequences in finite groups. Zbl 0758.20006
Knox, Steven W.
28
1992
A history of the Fibonacci Q-matrix and a higher-dimensional problem. Zbl 0467.10009
Gould, H. W.
28
1981
Waiting for the K-th consecutive success and the Fibonacci sequence of order K. Zbl 0476.60008
Philippou, A. N.; Muwafi, A. A.
28
1982
Factorizations and eigenvalues of Fibonacci and symmetric Fibonacci matrices. Zbl 1079.11012
Lee, Gwang-Yeon; Kim, Jin-Soo; Lee, Sang-Gu
28
2002
Some identities involving the Euler and the central factorial numbers. Zbl 0919.11018
Zhang, Wenpeng
27
1998
Divisibility properties of generalized Fibonacci polynomials. Zbl 0284.10003
Hoggatt, Verner E. jun.; Long, Calvin T.
26
1974
Complex factorizations of the Fibonacci and Lucas numbers. Zbl 1056.11005
Cahill, Nathan D.; D’Errico, John R.; Spence, John P.
26
2003
Some identities involving the Fibonacci polynomials. Zbl 1018.11008
Yuan, Yi; Zhang, Wenpeng
26
2002
A second variation on a problem of Diophantus and Davenport. Zbl 0382.10011
Jones, Burton W.
25
1978
Square Fibonacci numbers, etc. Zbl 0126.07201
Cohn, John H. E.
24
1964
Some results on Fibonacci quaternions. Zbl 0186.07801
Iyer, Muthulakshmi R.
24
1969
Some identities for \(r\)-Fibonacci numbers. Zbl 1264.11008
Howard, F. T.; Cooper, Curtis
24
2011
On weighted \(r\)-generalized Fibonacci sequences. Zbl 0886.11010
Dubeau, François; Motta, Walter; Rachidi, Mustapha; Saeki, Osamu
23
1997
Power digraphs modulo \(n\). Zbl 0936.05049
Wilson, Brad
23
1998
Some information about the binomial transform. Zbl 0818.05002
Prodinger, Helmut
23
1994
The \(p\)-adic valuation of Lucas sequences. Zbl 1400.11053
Sanna, Carlo
23
2016
Fibonacci notes. IV: \(q\)-Fibonacci polynomials. Zbl 0298.10010
Carlitz, Leonard
23
1975
Fibonacci cubes are the resonance graphs of Fibonaccenes. Zbl 1079.05094
Klavžar, Sandi; Žigert, Petra
22
2005
The g.c.d. in Lucas sequences and Lehmer number sequences. Zbl 0732.11008
McDaniel, Wayne L.
22
1991
The number of orderings of n candidates when ties are permitted. Zbl 0299.05009
Good, I. J.
22
1975
General Fibonacci sequences in finite groups. Zbl 1006.11500
Aydin, Hüseyin; Dikici, Ramazan
21
1998
Generalized quaternions of higher order. Zbl 0407.10014
Iakin, I. L.
21
1977
The relation of the period modulo to the rank of apparition of m in the Fibonacci sequence. Zbl 0116.03302
Vinson, John
21
1963
Fibonacci notes. III: \(q\)-Fibonacci numbers. Zbl 0292.10010
Carlitz, Leonard
21
1974
Derived sequences, the Tribonacci recurrence and cubic forms. Zbl 1001.11008
Elia, Michele
21
2001
On m-th order linear recurrences. Zbl 0574.10016
Levesque, Claude
21
1985
Fibonacci and Lucas numbers as tridiagonal matrix determinants. Zbl 1080.11014
Cahill, Nathan D.; Narayan, Darren A.
20
2004
Digraphs from powers modulo \(p\). Zbl 0855.05067
Lucheta, Caroline; Miller, Eli; Reiter, Clifford
20
1996
On the divisibility properties of Fibonacci numbers. Zbl 0147.02202
Halton, J. H.
20
1966
Sequences, paths, ballot numbers. Zbl 0257.05001
Carlitz, Leonard
20
1972
Projective maps of linear recurring sequences with maximal \(p\)-adic periods. Zbl 0761.11007
Huang, Minqiang; Dai, Zongduo
19
1992
Complex Fibonacci numbers. Zbl 0446.10010
Harman, C. J.
19
1981
The Fibonacci matrix modulo m. Zbl 0116.03205
Robinson, D. W.
19
1963
Divisibility properties of Fibonacci polynomials. Zbl 0211.37303
Webb, W. A.; Parberry, E. A.
19
1969
The bracket function and Fontené-Ward generalized binomial coefficients with application to Fibonomial coefficients. Zbl 0191.32702
Gould, H. W.
19
1969
On some properties of Humbert’s polynomials. Zbl 0635.33006
Milovanović, G. V.; Djordjević, G.
19
1987
Second derivative sequences of Fibonacci and Lucas polynomials. Zbl 0779.11009
Filipponi, Piero; Horadam, Alwyn F.
18
1993
Some results concerning polyominoes. Zbl 0128.24504
Klarner, D. A.
18
1965
Derivative polynomials for tanh, tan, sech and sec in explicit form. Zbl 1205.11026
Boyadzhiev, Khristo N.
18
2007
Some identities involving the Fibonacci numbers and Lucas numbers. Zbl 1052.11012
Zhang, Wenpeng
18
2004
Longest success runs and Fibonacci-type polynomials. Zbl 0575.60022
Philippou, Andreas N.; Makri, Frosso S.
18
1985
Jacobsthal and Pell curves. Zbl 0644.10014
Horadam, Alwyn F.
17
1988
Generalized quaternions with quaternion components. Zbl 0407.10015
Iakin, I. L.
17
1977
Sums of the inverses of binomial coefficients. Zbl 0476.05011
Rockett, Andrew M.
17
1981
The multiparameter noncentral Stirling numbers. Zbl 0802.05003
El-Desouky, B. S.
17
1994
On \(X\)-coordinates of Pell equations that are repdigits. Zbl 1459.11082
Faye, Bernadette; Luca, Florian
17
2018
On the Fibonacci numbers of trees. Zbl 1133.11011
Zhao, Haixing; Li, Xueliang
17
2006
Analytic continuation of the Fibonacci Dirichlet series. Zbl 1015.11045
Navas, Luis
17
2001
Invariant sequences under binomial transformation. Zbl 0987.05013
Sun, Zhihong
17
2001
A remark related to the Frobenius problem. Zbl 0766.11014
Brown, Tom C.; Shiue, Peter Jau-Shyong
16
1993
Associated Stirling numbers. Zbl 0443.10007
Howard, F. T.
16
1980
On the divisibility by 2 of the Stirling numbers of the second kind. Zbl 0808.11017
Lengyel, T.
16
1994
Congruences and recurrences for Bernoulli numbers of higher order. Zbl 0820.11009
Howard, F. T.
16
1994
Gaussian Fibonacci and Lucas numbers. Zbl 0129.02405
Jordan, J. H.
16
1965
Expansion of analytic functions in polynomials associated with Fibonacci numbers. Zbl 0147.06102
Byrd, Paul F.
16
1963
Special properties of the sequence \(w_n(a,b; p,q)\). Zbl 0159.05504
Horadam, A. F.
16
1967
Generalized Fibonacci polynomials. Zbl 0274.10022
Hoggatt, V. E. jun.; Bicknell, Marjorie
16
1973
The Filbert matrix. Zbl 0994.11011
Richardson, Thomas M.
16
2001
The Binet formula and representations of \(k\)-generalized Fibonacci numbers. Zbl 0989.11008
Lee, Gwang-Yeon; Lee, Sang-Gu; Kim, Jin-Soo; Shin, Hang-Kyun
16
2001
Matrix generators of Pell sequences. Zbl 0399.10011
Ercolano, Joseph
16
1979
\(q\)-Fibonacci polynomials. Zbl 1027.11011
Cigler, Johann
16
2003
Fibonacci words. Zbl 0758.68052
Chuan, Wai-fong
15
1992
Fibonacci balancing numbers. Zbl 1067.11006
Liptai, Kálmán; Kiss, Péter
15
2004
A primer on the Pell sequence and related sequences. Zbl 0319.10013
Bicknell, Marjorie
15
1975
Some remarks on the Bell numbers. Zbl 0426.10013
Carlitz, Leonard
15
1980
Fibonacci numbers and the Rogers-Ramanujan identities. Zbl 1055.11011
Andrews, George E.
15
2004
On the number of summands in Zeckendorf decompositions. Zbl 1225.11021
Koloğlu, Murat; Kopp, Gene S.; Miller, Steven J.; Wang, Yinghui
15
2011
The Tetranacci sequence and generalizations. Zbl 0748.11014
Waddill, Marcellus E.
14
1992
A note on generalized Fibonacci numbers. Zbl 0834.11009
Lee, Gwang-Yeon; Lee, Sang-Gu
14
1995
Bounds on the Fibonacci number of a maximal outerplanar graph. Zbl 0935.05055
Alameddine, Ahmad Fawzi
14
1998
Combinatorial sums and series involving inverses of binomial coefficients. Zbl 0943.11014
Trif, Tiberiu
14
2000
Fibonacci-Lucas quasi-cyclic matrices. Zbl 1081.11011
Lin, Dazheng
14
2002
On recurrence formulae for sums involving binomial coefficients. Zbl 1136.40301
Elsner, Carsten
14
2005
Gaussian Fibonacci numbers. Zbl 0363.10004
Berzsenyi, George
14
1977
Sums involving gibonacci polynomial squares. Zbl 1520.11024
Koshy, Thomas
6
2023
Additional sums involving gibonacci polynomials. Zbl 1517.11014
Koshy, Thomas
6
2023
Additional sums involving gibonacci polynomial squares. Zbl 1529.11031
Koshy, Thomas
1
2023
Fibonacci or Lucas numbers that are concatenations of two \(g\)-repdigits. Zbl 1518.11016
Adédji, Kouèssi Norbert; Filipin, Alan; Rihane, Salah Eddine; Togbé, Alain
1
2023
Sums involving gibonacci polynomials. Zbl 1508.11025
Koshy, Thomas
6
2022
Infinite sums involving gibonacci polynomials revisited. Zbl 1502.11029
Koshy, Thomas
5
2022
Infinite sums involving gibonacci polynomials. Zbl 1502.11028
Koshy, Thomas
4
2022
Generalized Schreier sets, linear recurrence relation, and Turán graphs. Zbl 1512.11020
Beanland, Kevin; Chu, Hùng Việt; Finch-Smith, Carrie E.
4
2022
Fibonacci along even powers is (almost) realizable. Zbl 1497.11045
Moss, Patrick; Ward, Tom
3
2022
Anti-palindromic compositions. Zbl 1502.05002
Andrews, George E.; Just, Matthew; Simay, Greg
3
2022
Bounds on Zeckendorf games. Zbl 1497.91062
Cusenza, Anna; Dunkelberg, Aidan; Huffman, Kate; Ke, Dianhui; McClatchey, Micah; Miller, Steven J.; Mizgerd, Clayton; Tiwari, Vashisth; Ye, Jingkai; Zheng, Xiaoyan
1
2022
Weighted sums of Fibonacci and Lucas numbers through colorful tilings. Zbl 1502.11024
Dresden, Greg; Xiao, Yu
1
2022
Sums related to the Fibonacci sequence. Zbl 1502.11027
Kinlaw, Paul; Morris, Michael; Thiagarajan, Samanthak
1
2022
A method for uniformly proving a family of identities. Zbl 1502.11025
Hendel, Russell Jay
1
2022
Infinite sums involving Jacobsthal polynomials. Zbl 1503.11035
Koshy, Thomas
1
2022
Zigzag sequences and representations of integers. Zbl 1503.11014
Campbell, H. E. A.; Wehlau, D. L.
1
2022
Infinite sums involving extended gibonacci polynomials. Zbl 1508.11023
Koshy, Thomas
1
2022
Fibonacci summation identities arising from Catalan’s identity. Zbl 1512.11025
Tuenter, Hans J. H.
1
2022
The Bergman game. Zbl 1518.91030
Baily, Benjamin; Dell, Justine; Durmić, Irfan; Fleischmann, Henry L.; Jackson, Faye; Mijares, Isaac; Miller, Steven J.; Pesikoff, Ethan; Reifenberg, Luke; Smith Reina, Alicia; Yang, Yingzi
1
2022
Verifying and generalizing Arndt’s compositions. Zbl 1514.05014
Hopkins, Brian; Tangboonduangjit, Aram
1
2022
\(\mathbb{Q}\)-bonacci words and numbers. Zbl 1517.11012
Kirgizov, Sergey
1
2022
Polyominoes and graphs built from Fibonacci words. Zbl 1514.05033
Kirgizov, Sergey; Ramírez, José L.
1
2022
Generalizing Zeckendorf’s theorem to homogeneous linear recurrences. I. Zbl 1517.11005
Martinez, Thomas C.; Miller, Steven J.; Mizgerd, Clayton; Sun, Chenyang
1
2022
Generalizing Zeckendorf’s theorem to homogeneous linear recurrences. II. Zbl 1520.11011
Martinez, Thomas C.; Miller, Steven J.; Mizgerd, Clayton; Murphy, Jack; Sun, Chenyang
1
2022
GCD of sums of \(k\) consecutive squares of generalized Fibonacci numbers. Zbl 1520.11028
Mbirika, aBa; Spilker, Jürgen
1
2022
Winning strategies for generalized Zeckendorf games. Zbl 1520.91085
Miller, Steven J.; Sosis, Eliel; Ye, Jingkai
1
2022
On the generalized Tribonacci zeta function. Zbl 1525.11096
Smajlović, Lejla; Šabanac, Zenan; Šćeta, Lamija
1
2022
On the Hurwitz-type zeta function associated to the Lucas sequence. Zbl 1525.11092
Smajlović, Lejla; Šabanac, Zenan; Šćeta, Lamija
1
2022
Partial sums of the Fibonacci sequence. Zbl 1483.11023
Chu, Hùng Việt
6
2021
How to add two natural numbers in base phi. Zbl 1483.11014
Dekking, F. Michel
3
2021
A simple bijective proof of a familiar derangement recurrence. Zbl 1483.05003
Elizalde, Sergi
3
2021
Infinite sums involving gibonacci polynomial products. Zbl 1503.11031
Koshy, Thomas
2
2021
In memoriam: Gerald E. Bergum. Zbl 1468.01010
Bicknell-Johnson, Marjorie R.
2
2021
Exact divisibility by powers of the balancing and Lucas-balancing numbers. Zbl 1484.11053
Patra, Asim; Panda, Gopal Krishna; Khemaratchatakumthorn, Tammatada
2
2021
Graph-theoretic confirmations of four sums of gibonacci polynomial products of order 4. Zbl 1483.11029
Koshy, Thomas
2
2021
Nondecreasing Deutsch paths. Zbl 1503.05006
Prodinger, Helmut
1
2021
On generalized Zeckendorf decompositions and generalized golden strings. Zbl 1503.11025
Chu, Hùng Việt
1
2021
Winning strategy for multiplayer and multialliance Zeckendorf games. Zbl 1503.91038
Cusenza, Anna; Dunkelberg, Aidan; Huffman, Kate; Ke, Dianhui; Kleber, Daniel; Miller, Steven J.; Mizgerd, Clayton; Tiwari, Vashisth; Ye, Jingkai; Zheng, Xiaoyan
1
2021
A bijection for the Fibonomial coefficients. Zbl 1483.11025
Killpatrick, Kendra; Weaver, Jordan
1
2021
A note on Ledin’s summation problem. Zbl 1486.11026
Shannon, A. G.; Ollerton, R. L.
1
2021
Bernoulli and Faulhaber. Zbl 1483.11036
Cereceda, José Luis
1
2021
On the \(x\)-coordinates of Pell equations that are products of two Lucas numbers. Zbl 1467.11036
Ddamulira, Mahadi
7
2020
On the sum of digits of the Zeckendorf representations of two consecutive numbers. Zbl 1468.11025
Shutov, Anton
5
2020
Higher order Fibonacci sequences from generalized Schreier sets. Zbl 1468.11050
Chu, Hùng Việt; Miller, Steven J.; Xiang, Zimu
5
2020
Base phi representations and golden mean beta-expansions. Zbl 1460.11016
Dekking, F. Michel
5
2020
An introduction to completeness of positive linear recurrence sequences. Zbl 1465.11054
Bołdyriew, Elżbieta; Haviland, John; Lâm, Phúc; Lentfer, John; Miller, Steven J.; Trejos Suárez, Fernando
4
2020
A new combinatorial interpretation of the Fibonacci numbers cubed. Zbl 1467.05030
Edwards, Kenneth; Allen, Michael A.
4
2020
A new combinatorial interpretation of the Fibonacci numbers squared. II. Zbl 1467.05020
Edwards, Kenneth; Allen, Michael A.
4
2020
Counting on Euler and Bernoulli number identities. Zbl 1472.11073
Benjamin, Arthur T.; Lentfer, John; Martinez, Thomas C.
3
2020
On periods of Fibonacci sequences and real quadratic \(p\)-rational fields. Zbl 1470.11021
Bouazzaoui, Zakariae
3
2020
Markoff equation with Pell components. Zbl 1468.11090
Kafle, Bir; Srinivasan, Anitha; Togbé, Alain
3
2020
Powers of two in generalized Lucas sequences. Zbl 1468.11060
Rihane, Salah Eddine; Faye, Bernadette; Luca, Florian; Togbé, Alain
3
2020
Matrices in the determinant Hosoya triangle. Zbl 1470.11020
Blair, Matthew; Flórez, Rigoberto; Mukherjee, Antara; Ramírez, José L.
2
2020
Linear independence of infinite products generated by the Lucas numbers. Zbl 1471.11218
Duverney, Daniel; Tachiya, Yohei
2
2020
New identities for some symmetric polynomials, and a higher order analogue of the Fibonacci and Lucas numbers. Zbl 1475.11032
Shibukawa, Genki
2
2020
The Markoff-Fibonacci numbers. Zbl 1473.11042
Srinivasan, Anitha
2
2020
Explicit formulas for sums involving the squares of the first \(n\) Tribonacci numbers. Zbl 1468.11061
Schumacher, Raphael
2
2020
Positive integer solutions of some Diophantine equations involving Lucas-balancing numbers. Zbl 1467.11037
Patra, Asim; Panda, G. K.
2
2020
A tiling interpretation of the \(q\)-binomial coefficients. Zbl 1468.05010
Azose, Jonathan J.; Benjamin, Arthur T.
2
2020
Extending Zeckendorf’s theorem to a non-constant recurrence and the Zeckendorf game on this non-constant recurrence relation. Zbl 1465.11053
Bołdyriew, Elżbieta; Cusenza, Anna; Dai, Linglong; Ding, Pei; Dunkelberg, Aidan; Haviland, John; Huffman, Kate; Ke, Dianhui; Kleber, Daniel; Kuretski, Jason; Lentfer, John; Luo, Tianhao; Miller, Steven J.; Mizgerd, Clayton; Tiwari, Vashisth; Ye, Jingkai; Zhang, Yunhao; Zheng, Xiaoyan; Zhu, Weiduo
1
2020
On the relation between Fibonacci and Lucas numbers. Zbl 1470.11024
Dafnis, Spiros D.
1
2020
Recursive triangles appearing embedded in recursive families. Zbl 1470.11041
Hendel, Russell Jay
1
2020
A note on Brousseau’s summation problem. Zbl 1470.11028
Ollerton, R. L.; Shannon, A. G.
1
2020
Girard-Waring type formula for a generalized Fibonacci sequence. Zbl 1467.11024
Wang, Kai
1
2020
Central limit theorems for compound paths on the two-dimensional lattice. Zbl 1468.11052
Fang, Evan; Jenkins, Jonathan; Lee, Zack; Li, Daniel; Lu, Ethan; Miller, Steven J.; Salgado, Dilhan; Siktar, Joshua M.
1
2020
Congruences involving Euler numbers and power sums. Zbl 1468.11073
McIntosh, Richard J.
1
2020
Generalized Fibonacci sequences in Pythagorean triple preserving matrices. Zbl 1477.11029
Austin, Jathan; Schneider, Lisa
1
2020
A family of lacunary recurrences for Lucas numbers. Zbl 1468.11059
Mahanta, Pankaj Jyoti; Saikia, Manjil P.
1
2020
Independence polynomials of Fibonacci trees are log-concave. Zbl 1475.05092
Bautista-Ramos, César; Guillén-Galvácuten, Carlos; Gómez-Salgado, Paulino
1
2020
Iteration of certain arithmetical functions of particular Lucas sequences. Zbl 1467.11026
Somer, Lawrence; Křížek, Michal
1
2020
Another proof for partial strong divisibility property of Lucas-type polynomials. Zbl 1467.11021
Flórez, Rigoberto; Higuita, Robinson A.
1
2020
Gaps of summands of the Zeckendorf lattice. Zbl 1468.11048
Borade, Neelima; Cai, Dexter; Chang, David Z.; Fang, Bruce; Liang, Alex; Miller, Steven J.; Xu, Wanqiao
1
2020
The Fibonacci quilt game. Zbl 1469.91018
Miller, Steven J.; Newlon, Alexandra
1
2020
How to sum the squares of the Tetranacci numbers and the Fibonacci \(m\)-step numbers. Zbl 1458.11041
Schumacher, Raphael
8
2019
Repdigits as products of balancing and Lucas-balancing numbers with indices in arithmetic progression. Zbl 1457.11016
Rayaguru, Sai Gopal; Panda, Gopal Krishna
6
2019
Sums of squares of Tetranacci numbers: a generating function approach. Zbl 1447.11032
Prodinger, Helmut; Selkirk, Sarah J.
6
2019
Combinatorial identities for the Padovan numbers. Zbl 1444.05021
Tedford, Steven J.
5
2019
Matrices in the Hosoya triangle. Zbl 1447.11021
Blair, Matthew; Flórez, Rigoberto; Mukherjee, Antara
5
2019
Arithmetic functions of Fibonacci and Lucas numbers. Zbl 1475.11031
Jaidee, Montree; Pongsriiam, Prapanpong
4
2019
A new combinatorial interpretation of the Fibonacci numbers squared. Zbl 1437.05043
Edwards, Kenneth; Allen, Michael A.
4
2019
Fibonacci and Lucas numbers which have exactly three prime factors and some unique properties of \(F_{18}\) and \(L_{18}\). Zbl 1447.11031
Pongsriiam, Prapanpong
4
2019
Unified tiling proofs of a family of Fibonacci identities. Zbl 1458.11031
Benjamin, Arthur T.; Crouch, Joshua; Sellers, James A.
3
2019
Generalizations of Hermite’s identity and applications. Zbl 1458.11005
Aursukaree, Saralee; Khemaratchatakumthorn, Tammatada; Pongsriiam, Prapanpong
3
2019
The \(p\)-adic valuation of Lucas sequences when \(p\) is a special prime. Zbl 1447.11019
Ballot, Christian
3
2019
Repdigits in Euler functions of Pell numbers. Zbl 1473.11009
Sahukar, M. K.; Panda, G. K.
2
2019
A recurrence for Gibonacci cubes with graph-theoretic confirmations. Zbl 1458.11024
Koshy, Thomas
2
2019
Central limit theorems for gaps of generalized Zeckendorf decompositions. Zbl 1459.60062
Li, Ray; Miller, Steven J.
2
2019
Diophantine equations with the Ramanujan \(\tau\) function of factorials, Fibonacci numbers, and Catalan numbers. Zbl 1456.11031
Luca, Florian; Mabaso, Sibusiso
2
2019
The generalized Zeckendorf game. Zbl 1445.91011
Baird-Smith, Paul; Epstein, Alyssa; Flint, Kristen; Miller, Steven J.
2
2019
Discovering Fibonacci numbers, Fibonacci words, and a Fibonacci fractal in the tower of Hanoi. Zbl 1447.11029
Hinz, Andreas M.; Stockmeyer, Paul K.
2
2019
Global series for zeta functions. Zbl 1447.11096
Young, Paul Thomas
2
2019
A non-linear recurrence identity class for terms of a generalized linear recurrence sequence of degree three. Zbl 1458.11027
Larcombe, Peter J.; Fennessey, Eric J.
1
2019
Faulhaber and Bernoulli. Zbl 1458.11047
Zielinski, Ryan
1
2019
Generalized metallic means. Zbl 1458.11033
Gil, Juan B.; Worley, Aaron
1
2019
Non-classical linear divisibility sequences and cyclotomic polynomials. Zbl 1458.11038
Koshkin, Sergiy
1
2019
Linear recurring sequence subgroups in the complex field. II. Zbl 1458.11023
Brison, Owen J.; Nogueira, J. Eurico
1
2019
“Choix de Bruxelles”: a new operation on positive integers. Zbl 1457.11014
Angelini, Éric; Blomberg, Lars; Neder, Charlie; Sigrist, Rémy; Sloane, N. J. A.
1
2019
Gaussian behavior in Zeckendorf decompositions from lattices. Zbl 1456.11019
Chen, Eric; Chen, Robin; Guo, Lucy; Jiang, Cindy; Miller, Steven J.; Siktar, Joshua M.; Yu, Peter
1
2019
On Oresme numbers and their connection with Fibonacci and Pell numbers. Zbl 1461.11034
Goy, Taras; Zatorsky, Roman
1
2019
Alternating offers bargaining and the golden ratio. Zbl 1445.91001
Rachmilevitch, Shiran
1
2019
...and 946 more Documents
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Cited by 3,953 Authors

85 Luca, Florian
45 Kilic, Emrah
44 Kim, Taekyun
40 Kim, Dae San
37 Togbé, Alain
32 Gómez, Carlos Alexis
30 Komatsu, Takao
29 Ramírez, José Luis
28 Shallit, Jeffrey Outlaw
27 Chu, Wenchang
26 Deveci, Ömür
26 Koshy, Thomas
26 Prodinger, Helmut
26 Soykan, Yüksel
25 Belbachir, Hacene
25 Keskin, Refik
23 Mansour, Toufik
22 Włoch, Iwona
21 Bravo, Jhon Jairo
21 He, Tian-Xiao
21 Ray, Prasanta Kumar
21 Sanna, Carlo
20 Rachidi, Mustapha
20 Simsek, Yilmaz
20 Szalay, László
20 Wagner, Stephan G.
19 Panda, Gopal Krishna
18 Rihane, Salah Eddine
18 Shattuck, Mark A.
18 Szynal-Liana, Anetta
18 Trojovský, Pavel
17 Dujella, Andrej
17 Marques, Diego
17 Miller, Steven J.
17 Özkan, Engin
17 Shiue, Peter Jau-Shyong
16 Qi, Feng
16 Şiar, Zafer
16 Sun, Zhi-Wei
15 Dilcher, Karl
15 Fujita, Yasutsugu
15 Klavžar, Sandi
15 Srivastava, Hari Mohan
14 Bród, Dorota
14 Chuan, Waifong
14 Omur, Nese
14 Young, Paul Thomas
13 Boussayoud, Ali
13 Hsu, Leetsch Charles
13 Jiang, Zhaolin
13 Karaduman, Erdal
13 Pongsriiam, Prapanpong
13 Qi, Wenfeng
13 Tan, Elif
13 Tasci, Dursun
12 Cerda-Morales, Gamaliel Cerda
12 Irmak, Nurettin
12 Rout, Sudhansu Sekhar
11 Bentaher, R.
11 Catarino, Paula Maria Machado Cruz
11 Cheon, Gi-Sang
11 Dekking, Frederik Michel
11 Egecioglu, Omer
11 Frontczak, Robert
11 Goy, Taras P.
11 Haukkanen, Pentti
11 Koparal, Sibel
11 Rayaguru, Sai Gopal
11 Somer, Lawrence E.
11 Ulas, Maciej
10 Cipu, Mihai
10 Dolgiĭ, Dmitriĭ Viktorovich
10 Flórez, Rigoberto
10 Jones, Lenny K.
10 Kızılateş, Can
10 Křížek, Michal
10 Larcombe, Peter J.
10 Mollard, Michel
10 Philippou, Andreas N.
10 Sun, Zhihong
10 Yang, Shengliang
9 Adegoke, Kunle
9 Andrews, George Eyre
9 Fennessey, Eric J.
9 Herrera, José L.
9 Klaška, Jiří
9 Lengyel, Tamás
9 Liu, Guodong
9 Moll, Victor Hugo
9 Murru, Nadir
9 Sagan, Bruce Eli
9 Saygı, Elif
9 Swamy, Sondekola Rudra
9 Taşkara, Necati
8 Akkus, Ilker
8 Arıkan, Talha
8 Bozkurt, Durmuş
8 El-Desouky, Beih S.
8 Halıcı, Serpil
8 Harrington, Joshua
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Cited in 527 Journals

169 Journal of Number Theory
166 Discrete Mathematics
143 Integers
121 Journal of Integer Sequences
94 Discrete Applied Mathematics
85 Linear Algebra and its Applications
75 Applied Mathematics and Computation
66 Journal of Combinatorial Theory. Series A
65 Rocky Mountain Journal of Mathematics
60 The Fibonacci Quarterly
58 The Ramanujan Journal
50 International Journal of Number Theory
45 Turkish Journal of Mathematics
45 Advances in Difference Equations
41 Journal of Mathematical Analysis and Applications
41 Advances in Applied Mathematics
40 Theoretical Computer Science
39 Periodica Mathematica Hungarica
39 European Journal of Combinatorics
34 Chaos, Solitons and Fractals
33 Mathematics of Computation
31 Boletín de la Sociedad Matemática Mexicana. Third Series
29 Finite Fields and their Applications
29 Palestine Journal of Mathematics
28 Advances in Applied Clifford Algebras
26 The Electronic Journal of Combinatorics
25 Mathematica Slovaca
24 Indian Journal of Pure & Applied Mathematics
24 Mediterranean Journal of Mathematics
23 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
22 Monatshefte für Mathematik
22 Indagationes Mathematicae. New Series
22 Journal of Inequalities and Applications
21 Czechoslovak Mathematical Journal
21 International Journal of Mathematics and Mathematical Sciences
21 Hacettepe Journal of Mathematics and Statistics
20 Applied Mathematics Letters
20 International Journal of Advances in Applied Mathematics and Mechanics
19 Proceedings of the American Mathematical Society
19 Journal de Théorie des Nombres de Bordeaux
19 Asian-European Journal of Mathematics
18 Journal of Computational and Applied Mathematics
18 Journal of Statistical Planning and Inference
18 Filomat
18 Annals of Combinatorics
17 Bulletin of the Australian Mathematical Society
17 Transactions of the American Mathematical Society
17 Special Matrices
16 American Mathematical Monthly
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16 Acta Mathematica Hungarica
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16 Abstract and Applied Analysis
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15 JP Journal of Algebra, Number Theory and Applications
15 Involve
14 Computers & Mathematics with Applications
14 The Mathematical Gazette
14 Acta Arithmetica
14 Annals of the Institute of Statistical Mathematics
14 Proceedings of the Japan Academy. Series A
14 Results in Mathematics
14 Aequationes Mathematicae
14 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
14 Acta et Commentationes Universitatis Tartuensis de Mathematica
13 Mathematical Methods in the Applied Sciences
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13 Journal of Mathematical Chemistry
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13 Annales Mathematicae Silesianae
13 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
13 Afrika Matematika
12 Communications in Algebra
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12 The Australasian Journal of Combinatorics
12 Discrete Dynamics in Nature and Society
12 Applicable Analysis and Discrete Mathematics
12 Acta Universitatis Sapientiae. Mathematica
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11 Quaestiones Mathematicae
11 Mathematical and Computer Modelling
11 Journal of Applied Mathematics
11 Symmetry
11 Research in Number Theory
10 Ukrainian Mathematical Journal
10 Advances in Mathematics
10 Honam Mathematical Journal
9 Mathematical Problems in Engineering
9 Journal of Combinatorial Optimization
9 Communications of the Korean Mathematical Society
9 Comptes Rendus. Mathématique. Académie des Sciences, Paris
9 Open Mathematics
8 Lithuanian Mathematical Journal
8 Functiones et Approximatio. Commentarii Mathematici
8 Journal of Approximation Theory
8 Rendiconti del Circolo Matemàtico di Palermo. Serie II
8 Elemente der Mathematik
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99 Group theory and generalizations (20-XX)
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