论文标题

计算Euler和Bernoulli数字身份

Counting on Euler and Bernoulli Number Identities

论文作者

Benjamin, Arthur T., Lentfer, John, Martinez, Thomas C.

论文摘要

尽管涉及欧拉和伯努利数字的身份很多,但通常在分析或归纳上得到证明。我们证明了两种涉及Euler和Bernoulli数字的身份,并通过上下排列进行了组合推理。

While there are many identities involving the Euler and Bernoulli numbers, they are usually proved analytically or inductively. We prove two identities involving Euler and Bernoulli numbers with combinatorial reasoning via up-down permutations.

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