Generalising Tuenter's binomial sums

zbMath1309.05013arXiv1407.3533MaRDI QIDQ5246242

Richard P. Brent

Publication date: 20 April 2015

Full work available at URL: https://arxiv.org/abs/1407.3533

zbMATH Keywords

Catalan numbergenerating functionmomentexplicit formulapolynomial interpolationGenocchi numbertangent numbersecant numberBernoulli random walkDumont-Foata polynomialbinomial sum identity

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Exact enumeration problems, generating functions (05A15) Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial identities, bijective combinatorics (05A19) Binomial coefficients; factorials; (q)-identities (11B65) Moment problems (44A60)

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