On the properties of even and odd sequences
Abstract
In this paper we continue to investigate the properties of those sequences $\{a_n\}$ satisfying the condition $\sum_{k=0}^n\binom nk(-1)^ka_k=\pm a_n$ $(n\ge 0)$. As applications we deduce new recurrence relations and congruences for Bernoulli and Euler numbers.
- Publication:
-
arXiv e-prints
- Pub Date:
- February 2014
- DOI:
- arXiv:
- arXiv:1402.5091
- Bibcode:
- 2014arXiv1402.5091S
- Keywords:
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- Mathematics - Combinatorics;
- Mathematics - Number Theory;
- 05A15;
- 05A19;
- 11A07;
- 11B39;
- 11B68
- E-Print:
- 22 pages