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arXiv · 1204.6361

Congruence classes of 2-adic valuations of Stirling numbers of the second kind

Curtis Bennett·Edward Mosteig
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Abstract

We analyze congruence classes of $S(n,k)$, the Stirling numbers of the second kind, modulo powers of 2. This analysis provides insight into a conjecture posed by Amdeberhan, Manna and Moll, which those authors established for $k\le5$. We provide a framework that can be used to justify the conjecture by computational means, which we then complete for $k=5, 6,..., 20$.

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Curtis Bennett, Edward Mosteig. 2012-04-28. Congruence classes of 2-adic valuations of Stirling numbers of the second kind. https://arxiv.org/abs/1204.6361

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