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arXiv · 1204.6554

The number of multinomial coefficients based on a set of partitions of n into k parts and divided by k evenly

Dmitry Kruchinin
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Abstract

In this paper we obtained an original integer sequence based on the properties of the multinomial coefficient. We investigated a property of the sequence that shows connection with a primality testing. For any prime n the n-th term in the sequence is less by 1 than the number of partitions of n. We hypothesize the existence of an asymptotic algorithm of primality testing.

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Dmitry Kruchinin. 2012-04-30. The number of multinomial coefficients based on a set of partitions of n into k parts and divided by k evenly. https://arxiv.org/abs/1204.6554

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