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The Fibonacci numbers.
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This article is published in M.D. computing : computers in medical practice.The article was published on 1991-07-01 and is currently open access. It has received 66 citations till now. The article focuses on the topics: Fibonacci number & Fibonacci polynomials.read more
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My numbers, my friends
TL;DR: My numbers, my friends, My numbers and my friends as mentioned in this paper, کتابخانه دیجیتال دانشگاه آزاد اسلامی خوراس
Binet's formula for the tribonacci sequence
TL;DR: The terms of a recursive sequence are usually defined by a recurrence procedure; that is, any term is the sum of preceding terms as discussed by the authors. But such a definition might not be entirely satisfactory, because the computation of any term could require the computations of all of its predecessors.
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A symmetric algorithm for hyperharmonic and Fibonacci numbers
Ayhan Dil,Istvan Mezo +1 more
TL;DR: An explicit formula for hyperharmonic numbers, general generating functions of the Fibonacci and Lucas numbers are obtained and a symmetric algorithm obtained by the recurrence relation a n k = a n - 1 k + a nk - 1 is introduced.
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On Starlike Functions Connected with \(k\)-Fibonacci Numbers
Nihal Yılmaz Özgür,Janusz Sokół +1 more
TL;DR: In this paper, a new subclass SL k of star-like functions which are related to a shell-like curve is presented, where the coefficients of such functions are connected with k-Fibonacci numbers Fk,n defined recurrently by Fk 0 = 0, Fk 1 = 1 and Fk n = kF k,n + Fk,n−1 for n ≥ 1, where k is a given positive real number.
Fibonacci-Like Sequence and its Properties
TL;DR: In this paper, Binet's formula and generating function of Fibonacci-like sequence are defined and the associated initial conditions are the sum of initial conditions of the two sequences respectively.