For positive integers n and k, the k-Lucas sequence is defined by the recurrence relation L
n+ 1= kL n+ L n-1 with the initial values L 0= 2, L 1= k. The Lucas sequence and Pell-Lucas …

This year's proceedings contain 32 contributed papers. All papers have been thoroughly
refereed by at least two referees. Most of the refereeing was done by members of the …

In [2], Stanton and Goulden gave a cyclic construction for Steiner triple systems using a
“pairing concept”. They used P (1, n) to denote a set of n pairs of integers in which each of …

A Sequence related to that of Thue-Morse Page 1 A Sequence related to that of Thue-Morse
Jean-Paul Allouche CNRSURA 0226, Math., Université Bordeaux I, F-33405 Talence cedex …

Cameron introduced a bijection between the set of sum-free sets and the set of all zero–one
sequences. In this paper, we study the sum-free sets of natural numbers corresponding to …

We give a van der Corput-type expression of the multidimensional Kronecker sequence and
a geometrical characterization of its distribution property. We can consider the latter to be a …

Note A relative of the Thue-Morse sequence Page 1 ELSEVIER Discrete Mathematics 139 (1995)
455~461 DISCRETE MATHEMATICS Note A relative of the Thue-Morse sequence Jean-Paul …

Many papers developed so far for Padovan sequences properties and its extensions usually
follow the one-dimensional approach. The presented work introduces new relations for a …

We prove two conjectures of Brändén on the real-rootedness of the polynomials Q n (x) and
R n (x) which are related to the Boros–Moll polynomials P n (x). In fact, we show that both Q …

Abstract Let $ Q=(b_n) _ {n\geq {1}} $ be a sequence of positive integers with ${b_n}\geq {2}
$ for all integers $ n $. Let $\alpha $ be a non-zero real number written in $ Q $-ary …