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Random Fibonacci Words via Clone Schur Functions
Forum of Mathematics, SigmaWe investigate positivity and probabilistic properties arising from the Young–Fibonacci lattice $\mathbb {YF}$ , a 1-differential poset on words composed of 1’s and 2’s (Fibonacci words) and graded by the sum of the digits.
Leonid Petrov, Jeanne Scott
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GOLDEN RATIO AND FIBONACCI SEQUENCE: UNIVERSAL FOOTPRINTS OF THE GOLDEN FLOW
, 2022 Rasim Başak
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Asymptotics for partitions over the Fibonacci numbers and related sequences [PDF]
, 2023 Michael James Coons +2 more
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Generalized Fibonacci Sequences and Binet-Fibonacci Curves
, 2017 We have studied several generalizations of Fibonacci sequences as the sequences with arbitrary initial values, the addition of two and more Fibonacci subsequences and Fibonacci polynomials with arbitrary bases. For Fibonacci numbers with congruent indices we derived general formula in terms of generalized Fibonacci polynomials and Lucas numbers.
Özvatan, Merve, Pashaev, Oktay K.
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Identities of Generalized Fibonacci-Like Sequence [PDF]
, 2014 Mamta Singh +2 more
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Some Notes on Odd or Even Indexed Fibonacci And Lucas Sequences
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2019 The uniqueness of the sum of the elements of finite subsets of the odd oreven indexed Fibonacci and Lucas sequences are proved. Moreover, it is shownthat the odd or even indexed Fibonacci and Lucas sequences are superincreasingsequences.
Alparslan Kargın +2 more
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Iterated Partial Sums of the k-Fibonacci Sequences [PDF]
, 2022 Sergio Falcón, Ángel Plaza
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The Research of the Generalized Fibonacci Sequence -based Propagation
, 2012 Aihua Gu, Yingying Xu
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