We provide the explicit solution of a general second order linear difference equation via the
computation of its associated Green function. This Green function is completely …

One of the most interesting properties of Pascal's triangle is that the sequence of the sums of
the elements on its diagonals is the best known recurrence sequence, the Fibonacci …

We define a so-called square $ k $-zig-zag shape as a part of the regular square grid.
Considering the shape as a $ k $-zig-zag digraph, we give values of its vertices according to …

In the present article, we give the explicit formulation of the linear recurrence sequence
satisfied by the sum of the elements lying over any finite ray of the generalized Delannoy …

In this paper, we describe the recurrence relation associated to the sum of diagonal
elements lying along a finite ray of certain type crossing the three-dimensional Pascal …

Periods of morgan-voyce sequences and elliptic curves Skip to content Should you have
institutional access? Here's how to get it ... De Gruyter € EUR - Euro £ GBP - Pound $ USD …

In the present paper, we consider the generalized arithmetic triangle called GAT which is
structurally identical to Pascal's triangle for which we keep the Pascal's rule of addition and …

Preserving log-concavity for -binomial coefficient Page 1 Discrete Mathematics, Algorithms and
Applications Vol. 11, No. 2 (2019) 1950017 (11 pages) c© World Scientific Publishing Company …

In this paper, we investigate several identities of $ k $-generalized Lucas numbers with $ k $-
generalized Fibonacci numbers. We also establish a link between generalized $ s $-Lucas …

Let k≥ 2 be a fixed integer. The k-generalized Lucas sequence {L n (k)} n≥ 0 starts with the
positive integer initial values k, 1, 3,…, 2 k− 1–1, and each term afterward is the sum of the k …