Title

CATALAN NUMBERS WITH MERSENNE SUBSCRIPTS.

Authors

KOSHY, THOMAS; ZHENGUANG GAO

Abstract

We investigate some divisibility properties of Catalan numbers with Mersenne numbers Mk as their subscripts, and then extend them for k = Fn, Ln, Pn, Qn, and Cn, where Fn, Ln, Pn, Qn, and Cn denote the nth Fibonacci, Lucas, Pell, Pell-Lucas, and Catalan numbers, respectively. We also compute CMk moduli 4, 8, and 64; and CMk 1 modulo 128.

Subjects

CATALAN numbers; MERSENNE numbers; NUMBER theory; FIBONACCI sequence; LUCAS numbers; PELL'S equation

Publication

Mathematical Scientist, 2013, Vol 38, Issue 2, p86

ISSN

0312-3685

Publication type

Academic Journal