On divisors of terms of linear recurrence sequences.
On Exponential Recurring Sequences.
On extensions of 1 chains
On families of nonlinear recurrences related to digits.
On Fibonacci numbers which are one more than a square.
On finite sequences satisfying linear recursions.
On generalized bihyperbolic Mersenne numbers
In this paper, a new generalization of Mersenne bihyperbolic numbers is introduced. Some of the properties of presented numbers are given. A general bilinear index-reduction formula for the generalized bihyperbolic Mersenne numbers is obtained. This result implies the Catalan, Cassini, Vajda, d'Ocagne and Halton identities. Moreover, generating function and matrix generators for these numbers are presented.
On integer-sequence-based constructions of generalized Pascal triangles.
On -Pell numbers which are sum of two Narayana’s cows numbers
For any positive integer , let be the -generalized Pell sequence which starts with ( terms) with the linear recurrence Let be Narayana’s sequence given by The purpose of this paper is to determine all -Pell numbers which are sums of two Narayana’s numbers. More precisely, we study the Diophantine equation in nonnegative integers , , and .
On k-triad sequences.
On linear difference equations over rings and modules.
On linear recurrence relations satisfied by Pisot sequences
On linear recurrence relations satisfied by Pisot sequences - Addenda and errata
On pairings of the first 2n natural numbers
On polynomials with flat squares
On prime-detecting sequences from Apéry's recurrence formulae for and .
On reciprocal sums of terms of linear recurrences
On recurrences of Fahr and Ringel arising in graph theory.
On recurrent mod p sequences.
On Rowland's sequence.