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arxiv: 1402.5091 · v2 · pith:ONF7WDYVnew · submitted 2014-02-20 · 🧮 math.CO · math.NT

On the properties of even and odd sequences

classification 🧮 math.CO math.NT
keywords propertiessequencesapplicationsbernoullibinomconditioncongruencescontinue
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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.

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