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arXiv:1402.5091 [math.CO]AbstractReferencesReviewsResources

On the properties of even and odd sequences

Zhi-Hong Sun

Published 2014-02-20, updated 2014-02-24Version 2

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.

Comments: 22 pages
Categories: math.CO, math.NT
Subjects: 05A15, 05A19, 11A07, 11B39, 11B68
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