Some properties of a sequence analagous to Euler numbers

Authors

  • Zhi-Hong Sun

Keywords:

Congruence, summation formula, Euler number

Abstract

Let $\{U_n\}$ be given by $U_0=1$ and $U_n=-2\sum_{k=1}^{[n/2]} \binom n{2k}U_{n-2k}\ (n\ge 1)$, where $[\cdot]$ is the greatest integer function. In the paper we present a summation formula and several congruences involving $\{U_n\}$. 10.1017/S0004972712000433

Published

2013-04-29

Issue

Vol. 87 No. 3 (2013)

Section

Articles
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