Results 11 to 20 of about 1,180,296 (224)
Almost Repdigit k-Fibonacci Numbers with an Application of k-Generalized Fibonacci Sequences
Mathematics, 2023 In this paper, we define the notion of almost repdigit as a positive integer whose digits are all equal except for at most one digit, and we search all terms of the k-generalized Fibonacci sequence which are almost repdigits. In particular, we find all k-
Alaa Altassan, Murat Alan
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On hyper-dual generalized Fibonacci numbers [PDF]
Notes on Number Theory and Discrete Mathematics, 2020 In this paper, we define hyper-dual generalized Fibonacci numbers. We give the Binet formulae, the generating functions and some basic identities for these numbers.
KOPARAL, SİBEL, ÖMÜR, NEŞE
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Generalized Fibonacci Numbers and Music [PDF]
JOURNAL OF ADVANCES IN MATHEMATICS, 2018 Mathematics and music have well documented historical connections. Just as the ordinary Fibonacci numbers have links with the golden ratio, this paper considers generalized Fibonacci numbers developed from generalizations of the golden ratio.
Gend, Robert van +2 more
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Restricted Permutations, Fibonacci Numbers, and k-generalized Fibonacci Numbers [PDF]
, 2005 In 1985 Simion and Schmidt showed that the number of permutations in Sn which avoid 132, 213, and 123 is equal to the Fibonacci number Fn+1. We use generating function and bijective techniques to give other sets of pattern-avoiding permutations which can be enumerated in terms of Fibonacci or k-generalized Fibonacci numbers.
Eric C. Egge, Toufik Mansour
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On the Generalized Order-$k$ Fibonacci and Lucas Numbers [PDF]
Rocky Mountain Journal of Mathematics, 2006 In this paper we consider the generalized order-k Fibonacci and Lucas numbers. We give the generalized Binet formula, combinatorial representation and some relations involving the generalized order-k Fibonacci and Lucas numbers.
Emrah Kılıç, Dursun Taşçı
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Generalized sums of Fibonacci and Lucas Numbers [PDF]
, 2021 Here we are proposing generalized sums for Fibonacci and Lucas numbers. In the case of the Fibonacci sequence, the generalized sum contains four Fibonacci numbers.
Sparavigna, A. C.
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Restricted Permutations, Fibonacci Numbers, and k-generalized Fibonacci Numbers
, 2002 A permutation $ \in S_n$ is said to {\it avoid} a permutation $ \in S_k$ whenever $ $ contains no subsequence with all of the same pairwise comparisons as $ $. For any set $R$ of permutations, we write $S_n(R)$ to denote the set of permutations in $S_n$ which avoid every permutation in $R$. In 1985 Simion and Schmidt showed that $|S_n(132, 213, 123)
Eric S. Egge, Toufik Mansour
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GENERALIZED FIBONACCI NUMBERS AND DIMER STATISTICS [PDF]
Modern Physics Letters B, 2003 We establish new product identities involving the q-analogue of the Fibonacci numbers. We show that the identities lead to alternate expressions of generating functions for close-packed dimers on non-orientable surfaces.
Wen Lu, Fan Wu
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The Binet formula, sums and representations of generalized Fibonacci p-numbers [PDF]
, 2007 In this paper, we consider the generalized Fibonacci p-numbers and then we give the generalized Binet formula, sums, combinatorial representations and generating function of the generalized Fibonacci p-numbers.
Kilic, Emrah
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On the sequences of $(q,k)$-generalized Fibonacci numbers [PDF]
Mathematica Bohemica, 2023 Abstract In this paper, we consider the new family of recurrence sequences of (q,k)-generalized Fibonacci numbers. These sequences naturally extend the well-known sequences of k-generalized Fibonacci numbers and generalized k-order Pell numbers.
Freitas, Gérsica +3 more
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