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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.