Results 71 to 80 of about 421,912 (199)

Edge-Disjoint Fibonacci Trees in Hypercube

open access: yesJournal of Computer Networks and Communications, 2014
The Fibonacci tree is a rooted binary tree whose number of vertices admit a recursive definition similar to the Fibonacci numbers. In this paper, we prove that a hypercube of dimension h admits two edge-disjoint Fibonacci trees of height h, two edge ...
Indhumathi Raman, Lakshmanan Kuppusamy
doaj   +1 more source

On the sum of reciprocal generalized Fibonacci numbers [PDF]

open access: yesarXiv, 2015
In this paper, we consider infinite sums derived from the reciprocals of the generalized Fibonacci numbers. We obtain some new and interesting identities for the generalized Fibonacci numbers.
arxiv  

Four New Generalized Fibonacci Number Summation Identities [PDF]

open access: yesarXiv, 2018
Two new generalized Fibonacci number summation identities are stated and proved, and two other new generalized Fibonacci number summation identities are derived from these, of which two special cases are already known in literature.
arxiv  

Fibonacci Numbers in Coin Tossing Sequences [PDF]

open access: green, 1978
Mark Finkelstein, Robert Whitley
openalex   +1 more source

Three closed forms for convolved Fibonacci numbers

open access: yesResults in Nonlinear Analysis, 2020
In the paper, by virtue of the Faà di Bruno formula and several properties of the Bell polynomials of the second kind, the author computes higher order derivatives of the generating function of convolved Fibonacci numbers and, consequently, derives three
Feng Qi
doaj  

Identities and Generating Functions of Products of Generalized Fibonacci numbers, Catalan and Harmonic Numbers [PDF]

open access: yesarXiv
We considered the properties of generalized Fibonacci and Lucas numbers class. The analogues of well-known Fibonacci identities for generalized numbers are obtained. We gained a new identity of product convolution of generalized Fibonacci and Lucas numbers.
arxiv  

Pauli Pascal Pyramids, Pauli Fibonacci Numbers, and Pauli Jacobsthal Numbers [PDF]

open access: yesarXiv, 2007
The three anti-commutative two-dimensional Pauli Pascal triangles can be generalized into multi-dimensional Pauli Pascal hyperpyramids. Fibonacci and Jacobsthal numbers are then generalized into Pauli Fibonacci numbers, Pauli Jacobsthal numbers, and Pauli Fibonacci numbers of higher order. And the question is: are Pauli rabbits killer rabbits?
arxiv  

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