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arxiv: 1707.06893 · v2 · pith:SVDNXGEQnew · submitted 2017-07-21 · 🧮 math.NT

Binomial collisions and near collisions

classification 🧮 math.NT
keywords binomialcoefficientscasescollisionsequalgivealgorithmsalmost
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We describe efficient algorithms to search for cases in which binomial coefficients are equal or almost equal, give a conjecturally complete list of all cases where two binomial coefficients differ by 1, and give some identities for binomial coefficients that seem to be new.

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