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arXiv · 1610.02063

Bisecting binomial coefficients

Eugen J. Ionascu·Thor Martinsen·Pantelimon Stanica
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Abstract

In this paper, we deal with the problem of bisecting binomial coefficients. We find many (previously unknown) infinite classes of integers which admit nontrivial bisections, and a class with only trivial bisections. As a byproduct of this last construction, we show conjectures Q2 and Q4 of Cusick and Li. We next find several bounds for the number of nontrivial bisections and further compute (using a supercomputer) the exact number of such bisections for n <= 51.

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Eugen J. Ionascu, Thor Martinsen, Pantelimon Stanica. 2016-10-06. Bisecting binomial coefficients. https://arxiv.org/abs/1610.02063

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