Another Identity for Complete Bell Polynomials Based on Ramanujan's Congruences
Ho-Hon Leung
Department of Mathematical Sciences
United Arab Emirates University
Al Ain, 15551
United Arab Emirates
Abstract:
Let p(n) be the number of partitions of a positive
integer n. We derive a new identity for complete Bell
polynomials based on a generating function of p(7n + 5)
given by Ramanujan.
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(Concerned with sequences
A000041
A071746.)
Received February 24 2018; revised versions received June 2 2018; June 3 2018.
Published in Journal of Integer Sequences, August 22 2018.
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