Pascal Matrices and Restricted Words
Department of Mathematics and Informatics
University of Banja Luka
Banja Luka, 78000
Republic of Srpska, BA
In previous papers we examined two functions
fm and cm, related to the
enumeration of restricted words over a finite alphabet. The
definitions of these functions depend on an initial arithmetic function
taking nonnegative integer values. In this paper, we consider four
types of initial functions, the values of which are binomial
coefficients. In particular, we give a new combinatorial
interpretation of the figurate numbers.
Full version: pdf,
(Concerned with sequences
Received March 3 2018; revised versions received May 10 2018; May 11 2018.
Published in Journal of Integer Sequences, May 24 2018.
Journal of Integer Sequences home page