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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: 3,040 Publications (since 1963)
References Indexed: 65 Publications with 616 References.
all top 5

Latest Issues

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)
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58, No. 5 (2020)
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49, No. 4 (2011)
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49, No. 1 (2011)
48, No. 4 (2010)
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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)
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44, No. 4 (2006)
44, No. 3 (2006)
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44, No. 1 (2006)
43, No. 4 (2005)
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42, No. 4 (2004)
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42, No. 1 (2004)
41, No. 5 (2003)
41, No. 4 (2003)
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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)
38, No. 2 (2000)
...and 80 more Volumes
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Authors

105 Hoggatt, Verner E. jun.
87 Horadam, Alwyn Francis
61 Carlitz, Leonard
56 Melham, Raymond Samuel
55 Koshy, Thomas
54 Shannon, Anthony Greville
43 Bicknell-Johnson, Marjorie R.
41 Kimberling, Clark H.
36 Filipponi, Piero
36 Somer, Lawrence E.
35 Gould, Henry Wadsworth
33 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 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
6 Steiner, Ray Phillip
...and 1,819 more Authors
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Fields

2,675 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)
32 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
31 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

1,472 Publications have been cited 6,568 times in 3,654 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
Fibonacci numbers of graphs. Zbl 0475.05046
Prodinger, Helmut; Tichy, Robert F.
94
1982
Basic properties of a certain generalized sequence of numbers. Zbl 0131.04103
Horadam, A. F.
92
1965
Weighted Stirling numbers of the first and second kind. I. Zbl 0428.05003
Carlitz, Leonard
74
1980
On the square roots of triangular numbers. Zbl 0962.11014
Behera, A.; Panda, G. K.
71
1999
Solving generalized Fibonacci recurrences. Zbl 0911.11014
Wolfram, D. A.
60
1998
Pell and Pell-Lucas polynomials. Zbl 0557.10011
Horadam, Alwyn F.; Mahon, Brother J. M.
60
1985
A note on Fibonacci quaternions. Zbl 0191.32701
Iyer, Mathulakshmi R.
54
1969
Jacobsthal representation numbers. Zbl 0869.11013
Horadam, A. F.
53
1996
Generalized Fibonacci numbers by matrix methods. Zbl 0472.10016
Kalman, Dan
50
1982
On Euler’s solution of a problem of Diophantus. Zbl 0418.10021
Arkin, Joseph; Hoggatt, V. E. jun.; Straus, E. G.
41
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
On the sum of reciprocal Fibonacci numbers. Zbl 1177.11018
Ohtsuka, Hideyuki; Nakamura, Shigeru
37
2009
The order of the Fibonacci and Lucas numbers. Zbl 0838.11011
Lengyel, T.
36
1995
Weighted Stirling numbers of the first and second kind. II. Zbl 0441.05003
Carlitz, Leonard
32
1980
Fibonacci sequences of period \(n\) in groups. Zbl 0603.10011
Wilcox, Howard J.
31
1986
Sums of Fibonacci numbers by matrix methods. Zbl 0539.10013
Er, M. C.
31
1984
Jacobsthal representation polynomials. Zbl 0917.11009
Horadam, A. F.
30
1997
Binet’s formula for the Tribonacci sequence. Zbl 0486.10011
Spickerman, W. R.
29
1982
Roots of Fibonacci polynomials. Zbl 0272.33004
Hoggatt, V. E. jun.; Bicknell, Marjorie
28
1973
Some doubly exponential sequences. Zbl 0277.10011
Aho, A. V.; Sloane, N. J. A.
28
1973
Vieta polynomials. Zbl 1090.11012
Horadam, A. F.
28
2002
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
Fibonacci sequences in finite groups. Zbl 0758.20006
Knox, Steven W.
28
1992
Several identities involving the Fibonacci numbers and Lucas numbers. Zbl 1173.11305
Ma, Rong; Zhang, Wenpeng
28
2007
The Fibonacci lattice. Zbl 0328.06007
Stanley, Richard P.
27
1975
A history of the Fibonacci Q-matrix and a higher-dimensional problem. Zbl 0467.10009
Gould, H. W.
26
1981
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
Some identities involving the Euler and the central factorial numbers. Zbl 0919.11018
Zhang, Wenpeng
25
1998
Factorizations and eigenvalues of Fibonacci and symmetric Fibonacci matrices. Zbl 1079.11012
Lee, Gwang-Yeon; Kim, Jin-Soo; Lee, Sang-Gu
25
2002
Divisibility properties of generalized Fibonacci polynomials. Zbl 0284.10003
Hoggatt, Verner E. jun.; Long, Calvin T.
24
1974
Complex factorizations of the Fibonacci and Lucas numbers. Zbl 1056.11005
Cahill, Nathan D.; D’Errico, John R.; Spence, John P.
24
2003
Fibonacci notes. IV: \(q\)-Fibonacci polynomials. Zbl 0298.10010
Carlitz, Leonard
23
1975
On weighted \(r\)-generalized Fibonacci sequences. Zbl 0886.11010
Dubeau, François; Motta, Walter; Rachidi, Mustapha; Saeki, Osamu
23
1997
Some results on Fibonacci quaternions. Zbl 0186.07801
Iyer, Muthulakshmi R.
23
1969
Some identities for \(r\)-Fibonacci numbers. Zbl 1264.11008
Howard, F. T.; Cooper, Curtis
23
2011
Power digraphs modulo \(n\). Zbl 0936.05049
Wilson, Brad
22
1998
The \(p\)-adic valuation of Lucas sequences. Zbl 1400.11053
Sanna, Carlo
22
2016
Fibonacci cubes are the resonance graphs of Fibonaccenes. Zbl 1079.05094
Klavžar, Sandi; Žigert, Petra
22
2005
Square Fibonacci numbers, etc. Zbl 0126.07201
Cohn, John H. E.
22
1964
Generalized quaternions of higher order. Zbl 0407.10014
Iakin, I. L.
21
1977
General Fibonacci sequences in finite groups. Zbl 1006.11500
Aydin, Hüseyin; Dikici, Ramazan
21
1998
Fibonacci notes. III: \(q\)-Fibonacci numbers. Zbl 0292.10010
Carlitz, Leonard
21
1974
The number of orderings of n candidates when ties are permitted. Zbl 0299.05009
Good, I. J.
21
1975
Derived sequences, the Tribonacci recurrence and cubic forms. Zbl 1001.11008
Elia, Michele
21
2001
Some information about the binomial transform. Zbl 0818.05002
Prodinger, Helmut
21
1994
The g.c.d. in Lucas sequences and Lehmer number sequences. Zbl 0732.11008
McDaniel, Wayne L.
21
1991
Sequences, paths, ballot numbers. Zbl 0257.05001
Carlitz, Leonard
20
1972
On m-th order linear recurrences. Zbl 0574.10016
Levesque, Claude
20
1985
Digraphs from powers modulo \(p\). Zbl 0855.05067
Lucheta, Caroline; Miller, Eli; Reiter, Clifford
20
1996
Fibonacci and Lucas numbers as tridiagonal matrix determinants. Zbl 1080.11014
Cahill, Nathan D.; Narayan, Darren A.
20
2004
The relation of the period modulo to the rank of apparition of m in the Fibonacci sequence. Zbl 0116.03302
Vinson, John
20
1963
Complex Fibonacci numbers. Zbl 0446.10010
Harman, C. J.
19
1981
On the divisibility properties of Fibonacci numbers. Zbl 0147.02202
Halton, J. H.
19
1966
Divisibility properties of Fibonacci polynomials. Zbl 0211.37303
Webb, W. A.; Parberry, E. A.
19
1969
Projective maps of linear recurring sequences with maximal \(p\)-adic periods. Zbl 0761.11007
Huang, Minqiang; Dai, Zongduo
19
1992
Longest success runs and Fibonacci-type polynomials. Zbl 0575.60022
Philippou, Andreas N.; Makri, Frosso S.
18
1985
Some identities involving the Fibonacci numbers and Lucas numbers. Zbl 1052.11012
Zhang, Wenpeng
18
2004
Some results concerning polyominoes. Zbl 0128.24504
Klarner, D. A.
18
1965
The bracket function and Fontené-Ward generalized binomial coefficients with application to Fibonomial coefficients. Zbl 0191.32702
Gould, H. W.
18
1969
Derivative polynomials for tanh, tan, sech and sec in explicit form. Zbl 1205.11026
Boyadzhiev, Khristo N.
18
2007
Generalized quaternions with quaternion components. Zbl 0407.10015
Iakin, I. L.
17
1977
Invariant sequences under binomial transformation. Zbl 0987.05013
Sun, Zhihong
17
2001
Analytic continuation of the Fibonacci Dirichlet series. Zbl 1015.11045
Navas, Luis
17
2001
On \(X\)-coordinates of Pell equations that are repdigits. Zbl 1459.11082
Faye, Bernadette; Luca, Florian
17
2018
On some properties of Humbert’s polynomials. Zbl 0635.33006
Milovanović, G. V.; Djordjević, G.
17
1987
Second derivative sequences of Fibonacci and Lucas polynomials. Zbl 0779.11009
Filipponi, Piero; Horadam, Alwyn F.
17
1993
The multiparameter noncentral Stirling numbers. Zbl 0802.05003
El-Desouky, B. S.
17
1994
On the Fibonacci numbers of trees. Zbl 1133.11011
Zhao, Haixing; Li, Xueliang
17
2006
Associated Stirling numbers. Zbl 0443.10007
Howard, F. T.
16
1980
The Filbert matrix. Zbl 0994.11011
Richardson, Thomas M.
16
2001
Jacobsthal and Pell curves. Zbl 0644.10014
Horadam, Alwyn F.
16
1988
Congruences and recurrences for Bernoulli numbers of higher order. Zbl 0820.11009
Howard, F. T.
16
1994
The Fibonacci matrix modulo m. Zbl 0116.03205
Robinson, D. W.
16
1963
Special properties of the sequence \(w_n(a,b; p,q)\). Zbl 0159.05504
Horadam, A. F.
16
1967
Some remarks on the Bell numbers. Zbl 0426.10013
Carlitz, Leonard
15
1980
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
15
2001
On the divisibility by 2 of the Stirling numbers of the second kind. Zbl 0808.11017
Lengyel, T.
15
1994
Fibonacci balancing numbers. Zbl 1067.11006
Liptai, Kálmán; Kiss, Péter
15
2004
Fibonacci numbers and the Rogers-Ramanujan identities. Zbl 1055.11011
Andrews, George E.
15
2004
Fibonacci words. Zbl 0758.68052
Chuan, Wai-fong
15
1992
A remark related to the Frobenius problem. Zbl 0766.11014
Brown, Tom C.; Shiue, Peter Jau-Shyong
15
1993
\(q\)-Fibonacci polynomials. Zbl 1027.11011
Cigler, Johann
15
2003
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
Generalized Fibonacci polynomials. Zbl 0274.10022
Hoggatt, V. E. jun.; Bicknell, Marjorie
14
1973
A primer on the Pell sequence and related sequences. Zbl 0319.10013
Bicknell, Marjorie
14
1975
Gaussian Fibonacci numbers. Zbl 0363.10004
Berzsenyi, George
14
1977
Fibonacci-Lucas quasi-cyclic matrices. Zbl 1081.11011
Lin, Dazheng
14
2002
Gaussian Fibonacci and Lucas numbers. Zbl 0129.02405
Jordan, J. H.
14
1965
Expansion of analytic functions in polynomials associated with Fibonacci numbers. Zbl 0147.06102
Byrd, Paul F.
14
1963
Sums of the inverses of binomial coefficients. Zbl 0476.05011
Rockett, Andrew M.
14
1981
The Tetranacci sequence and generalizations. Zbl 0748.11014
Waddill, Marcellus E.
14
1992
Sequence balancing and cobalancing numbers. Zbl 1214.11027
Panda, G. K.
14
2007
Generalized happy numbers. Zbl 1011.11008
Grundman, H. G.; Teeple, E. A.
13
2001
Matrix generators of Pell sequences. Zbl 0399.10011
Ercolano, Joseph
13
1979
Some identities for Tribonacci sequences. Zbl 0641.10007
Pethe, S.
13
1988
Sums involving gibonacci polynomial squares. Zbl 1520.11024
Koshy, Thomas
6
2023
Additional sums involving gibonacci polynomials. Zbl 1517.11014
Koshy, Thomas
5
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
Additional sums involving gibonacci polynomial squares. Zbl 07734736
Koshy, Thomas
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.
2
2022
Anti-palindromic compositions. Zbl 1502.05002
Andrews, George E.; Just, Matthew; Simay, Greg
2
2022
Fibonacci along even powers is (almost) realizable. Zbl 1497.11045
Moss, Patrick; Ward, Tom
2
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
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
GCD of sums of \(k\) consecutive squares of generalized Fibonacci numbers. Zbl 1520.11028
Mbirika, aBa; Spilker, Jürgen
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
5
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
A bijection for the Fibonomial coefficients. Zbl 1483.11025
Killpatrick, Kendra; Weaver, Jordan
1
2021
How to add two natural numbers in base phi. Zbl 1483.11014
Dekking, F. Michel
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
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
On the sum of digits of the Zeckendorf representations of two consecutive numbers. Zbl 1468.11025
Shutov, Anton
4
2020
Base phi representations and golden mean beta-expansions. Zbl 1460.11016
Dekking, F. Michel
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
Higher order Fibonacci sequences from generalized Schreier sets. Zbl 1468.11050
Chu, Hùng Việt; Miller, Steven J.; Xiang, Zimu
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
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
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
New identities for some symmetric polynomials, and a higher order analogue of the Fibonacci and Lucas numbers. Zbl 1475.11032
Shibukawa, Genki
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
Powers of two in generalized Lucas sequences. Zbl 1468.11060
Rihane, Salah Eddine; Faye, Bernadette; Luca, Florian; Togbé, Alain
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
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
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
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
Combinatorial identities for the Padovan numbers. Zbl 1444.05021
Tedford, Steven J.
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
The \(p\)-adic valuation of Lucas sequences when \(p\) is a special prime. Zbl 1447.11019
Ballot, Christian
3
2019
Generalizations of Hermite’s identity and applications. Zbl 1458.11005
Aursukaree, Saralee; Khemaratchatakumthorn, Tammatada; Pongsriiam, Prapanpong
2
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
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
A family of nonlinear recurrences and their linear solutions. Zbl 1447.11013
Alperin, Roger C.
1
2019
The generalized Zeckendorf game. Zbl 1445.91011
Baird-Smith, Paul; Epstein, Alyssa; Flint, Kristen; Miller, Steven J.
1
2019
Some high degree generalized Fibonacci identities. Zbl 1447.11024
Cooper, Curtis
1
2019
Connection coefficients for higher-order Bernoulli and Euler polynomials: a random walk approach. Zbl 1447.11037
Jiu, Lin; Vignat, Christophe
1
2019
On \(X\)-coordinates of Pell equations that are repdigits. Zbl 1459.11082
Faye, Bernadette; Luca, Florian
17
2018
Repdigits as products of consecutive balancing or Lucas-balancing numbers. Zbl 1443.11020
Rayaguru, S. G.; Panda, G. K.
10
2018
Markov equation with Fibonacci components. Zbl 1458.11056
Luca, Florian; Srinivasan, Anitha
6
2018
The converse of exact divisibility by powers of the Fibonacci and Lucas numbers. Zbl 1443.11017
Onphaeng, Kritkhajohn; Pongsriiam, Prapanpong
5
2018
Sequences of consecutive happy numbers in negative bases. Zbl 1448.11016
Grundman, Helen G.; Harris, Pamela E.
3
2018
Weighted sums of some second-order sequences. Zbl 1448.11030
Adegoke, Kunle
3
2018
Some Fibonacci-Lucas-Tribonacci-Lucas identities. Zbl 1448.11033
Frontczak, Robert
3
2018
\(p\)-adic valuation of Lucas iteration sequences. Zbl 1443.11018
Panraksa, Chatchawan; Tangboonduangjit, Aram
3
2018
Donald Dines Wall’s conjecture. Zbl 1454.11042
Klaška, Jiří
2
2018
Arithmetic functions of balancing numbers. Zbl 1448.11009
Sahukar, Manasi Kumari; Panda, G. K.
2
2018
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Cited by 3,773 Authors

81 Luca, Florian
44 Kilic, Emrah
44 Kim, Taekyun
39 Kim, Dae San
35 Togbé, Alain
29 Gómez, Carlos Alexis
29 Komatsu, Takao
27 Ramírez, José Luis
27 Shallit, Jeffrey Outlaw
26 Chu, Wenchang
26 Deveci, Ömür
26 Prodinger, Helmut
26 Soykan, Yüksel
24 Belbachir, Hacene
24 Koshy, Thomas
23 Keskin, Refik
23 Mansour, Toufik
22 Włoch, Iwona
21 Bravo, Jhon Jairo
21 He, Tian-Xiao
21 Ray, Prasanta Kumar
20 Rachidi, Mustapha
20 Sanna, Carlo
20 Wagner, Stephan G.
19 Panda, Gopal Krishna
19 Simsek, Yilmaz
18 Szynal-Liana, Anetta
18 Trojovský, Pavel
17 Dujella, Andrej
17 Marques, Diego
17 Özkan, Engin
17 Shattuck, Mark A.
17 Shiue, Peter Jau-Shyong
16 Qi, Feng
16 Rihane, Salah Eddine
16 Sun, Zhi-Wei
16 Szalay, László
15 Dilcher, Karl
15 Fujita, Yasutsugu
15 Srivastava, Hari Mohan
14 Bród, Dorota
14 Chuan, Waifong
14 Klavžar, Sandi
14 Miller, Steven J.
14 Omur, Nese
14 Şiar, Zafer
13 Hsu, Leetsch Charles
13 Jiang, Zhaolin
13 Karaduman, Erdal
13 Qi, Wenfeng
13 Tasci, Dursun
13 Young, Paul Thomas
12 Boussayoud, Ali
12 Cerda-Morales, Gamaliel Cerda
12 Pongsriiam, Prapanpong
12 Rout, Sudhansu Sekhar
11 Cheon, Gi-Sang
11 Egecioglu, Omer
11 Goy, Taras P.
11 Irmak, Nurettin
11 Koparal, Sibel
11 Tan, Elif
10 Bentaher, R.
10 Catarino, Paula Maria Machado Cruz
10 Cipu, Mihai
10 Dolgiĭ, Dmitriĭ Viktorovich
10 Flórez, Rigoberto
10 Frontczak, Robert
10 Haukkanen, Pentti
10 Jones, Lenny K.
10 Larcombe, Peter J.
10 Mollard, Michel
10 Philippou, Andreas N.
10 Rayaguru, Sai Gopal
10 Somer, Lawrence E.
10 Sun, Zhihong
10 Ulas, Maciej
10 Yang, Shengliang
9 Andrews, George Eyre
9 Dekking, Frederik Michel
9 Fennessey, Eric J.
9 Herrera, José L.
9 Kızılateş, Can
9 Klaška, Jiří
9 Křížek, Michal
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 Adegoke, Kunle
8 Akkus, Ilker
8 Arıkan, Talha
8 Bozkurt, Durmuş
8 El-Desouky, Beih S.
8 Knopfmacher, Arnold
8 Liu, Wenan
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Cited in 508 Journals

167 Journal of Number Theory
164 Discrete Mathematics
119 Integers
110 Journal of Integer Sequences
91 Discrete Applied Mathematics
82 Linear Algebra and its Applications
75 Applied Mathematics and Computation
64 Journal of Combinatorial Theory. Series A
62 Rocky Mountain Journal of Mathematics
57 The Ramanujan Journal
53 The Fibonacci Quarterly
48 International Journal of Number Theory
45 Advances in Difference Equations
43 Turkish Journal of Mathematics
40 Journal of Mathematical Analysis and Applications
40 Theoretical Computer Science
39 Periodica Mathematica Hungarica
39 Advances in Applied Mathematics
37 European Journal of Combinatorics
34 Chaos, Solitons and Fractals
33 Mathematics of Computation
29 Palestine Journal of Mathematics
28 Advances in Applied Clifford Algebras
28 Finite Fields and their Applications
28 Boletín de la Sociedad Matemática Mexicana. Third Series
26 The Electronic Journal of Combinatorics
23 Indian Journal of Pure & Applied Mathematics
23 Mathematica Slovaca
23 Mediterranean Journal of Mathematics
22 Monatshefte für Mathematik
22 Journal of Inequalities and Applications
21 Czechoslovak Mathematical Journal
21 Hacettepe Journal of Mathematics and Statistics
20 International Journal of Mathematics and Mathematical Sciences
20 Applied Mathematics Letters
20 Indagationes Mathematicae. New Series
20 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
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
17 Transactions of the American Mathematical Society
17 Annals of Combinatorics
16 American Mathematical Monthly
16 Mathematics Magazine
16 Statistics & Probability Letters
16 Acta Mathematica Hungarica
16 Graphs and Combinatorics
16 Journal of Difference Equations and Applications
16 Abstract and Applied Analysis
16 Special Matrices
16 AIMS Mathematics
15 Bulletin of the Australian Mathematical Society
15 JP Journal of Algebra, Number Theory and Applications
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 Aequationes Mathematicae
13 Mathematical Notes
13 Results in Mathematics
13 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
13 Journal of Mathematical Chemistry
13 Journal of Discrete Mathematical Sciences & Cryptography
13 Annales Mathematicae Silesianae
13 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
13 Afrika Matematika
12 Journal of Symbolic Computation
12 Journal of Mathematical Sciences (New York)
12 Discrete Dynamics in Nature and Society
12 Acta et Commentationes Universitatis Tartuensis de Mathematica
12 Applicable Analysis and Discrete Mathematics
12 Journal of Applied Mathematics & Informatics
11 Communications in Algebra
11 The Australasian Journal of Combinatorics
11 Journal of Applied Mathematics
11 Acta Universitatis Sapientiae. Mathematica
11 Symmetry
11 Research in Number Theory
10 Mathematical Methods in the Applied Sciences
10 Ukrainian Mathematical Journal
10 Advances in Mathematics
10 Quaestiones Mathematicae
10 Mathematical and Computer Modelling
9 Mathematical Problems in Engineering
9 Honam Mathematical Journal
9 Journal of Combinatorial Optimization
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 European Journal of Operational Research
8 Journal of Algebraic Combinatorics
8 Communications of the Korean Mathematical Society
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Cited in 61 Fields

2,523 Number theory (11-XX)
1,255 Combinatorics (05-XX)
289 Linear and multilinear algebra; matrix theory (15-XX)
232 Special functions (33-XX)
174 Computer science (68-XX)
140 Probability theory and stochastic processes (60-XX)
104 Numerical analysis (65-XX)
97 Group theory and generalizations (20-XX)
90 Functions of a complex variable (30-XX)
75 Information and communication theory, circuits (94-XX)
69 Dynamical systems and ergodic theory (37-XX)
65 Statistics (62-XX)
56 Real functions (26-XX)
55 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
53 Biology and other natural sciences (92-XX)
50 Difference and functional equations (39-XX)
47 Operations research, mathematical programming (90-XX)
43 Sequences, series, summability (40-XX)
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35 Commutative algebra (13-XX)
31 Field theory and polynomials (12-XX)
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28 Order, lattices, ordered algebraic structures (06-XX)
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24 Algebraic geometry (14-XX)
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