Journal of Integer Sequences, Vol. 21 (2018), Article 18.6.4

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


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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