The odd Catalan numbers modulo 2^k
Number Theory
2011-01-12 v2 Combinatorics
Abstract
We study the properties of the odd Catalan numbers, C_n, modulo 2^k for k >= 2. We show that there exist only k - 1 different congruences of the odd Catalan numbers modulo 2^k. Moreover, these congruences can be obtained by C_{2^m - 1} (mod 2^k) for m = 1, 2, ..., k - 1.
Keywords
Cite
@article{arxiv.1012.1756,
title = {The odd Catalan numbers modulo 2^k},
author = {Hsueh-Yung Lin},
journal= {arXiv preprint arXiv:1012.1756},
year = {2011}
}
Comments
6 pages