On the further properties of $\{U_n\}$

Details On the further properties of $\{U_n\}$ On the further properties of $\{U_n\}$

2012-03-27

arxiv.org/abs/1203.5977v4

Mathematics

Number Theory

13 pages

Scientific paper

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

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