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[8] Fengzhen Zhao and Tianming Wang, Generalizations of some identities involving the Fibonacci numbers, Fibonacci Quart. Published in Journal of Integer Sequences , September
Komatsu, On the residue classes of integer sequences satisfying a linear three term recurrence formula, Linear Algebra Appl. Wright, An Introduction to the Theory of Numbers ,
In this short note, we prove that the sequence A061646 from Neil Sloane’s Online Encyclo- pedia of Integer Sequences is connected with the number of domino tilings of a holey square..
All the recurrence sequences above have a third order; the selective identities, Binet formulas and generating functions, and some different identities for these numbers, are
In this paper we study the action of the Binomial and Invert (interpolated) operators on the set of linear recurrent sequences.. We prove that these operators preserve this set, and
In order to characterize the effect of the so-called Catalan transformation, we shall look at its effect on some common sequences, including the Fibonacci and Jacobsthal numbers..
To prove absolute Tauberian theorems with the aid of absolute summa- bility factors for double series and sequences we need to generalize some important theorems about
In this article we introduce and investigate the notion of ∆ (r) -null, ∆ (r) -convergent and ∆ (r) -bounded sequences of fuzzy numbers which generalize the notion of null,