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arXiv · 1403.5942

On an explicit representation of central $(2k+1)$-nomial coefficients

Michelle Rudolph-Lilith·Lyle E. Muller
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Abstract

We propose an explicit representation of central $(2k+1)$-nomial coefficients in terms of finite sums over trigonometric constructs. The approach utilizes the diagonalization of circulant boolean matrices and is generalizable to all $(2k+1)$-nomial coefficients, thus yielding a new family of combinatorical identities.

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Michelle Rudolph-Lilith, Lyle E. Muller. 2014-03-24. On an explicit representation of central $(2k+1)$-nomial coefficients. https://arxiv.org/abs/1403.5942

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