On the last nonzero digits of n! in a given base

2018/09/18 by Sobolewski, Bartosz
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1809.06947

Abstract

In this paper we study the sequence of strings of k last nonzero digits of n! in a given base b. We determine for which b this sequence is automatic and show how to generate it using a uniform morphism. We also compute how often each possible string of k digits appears as the k last nonzero digits of n!.

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