Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5776868 | Discrete Mathematics | 2017 | 10 Pages |
Abstract
We present identities for sums (and alternating sums) of Cm,k, squares and cubes of Cm,k and, consequently, for Bn,k and An,k. In particular, one of these identities solves an open problem posed in Gutiérrez et al. (2008). We also give some identities between (Cm,k)mâ¥1,kâ¥0 and harmonic numbers (Hn)nâ¥1. Finally, in the last section, new open problems and identities involving (Cn)nâ¥0 are conjectured.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Pedro J. Miana, Hideyuki Ohtsuka, Natalia Romero,