Journal of Integer Sequences, Vol. 18 (2015), Article 15.4.2

New Congruences for Partitions where the Odd Parts are Distinct

Liuquan Wang
Department of Mathematics
National University of Singapore
Singapore, 119076


Let pod(n) denote the number of partitions of n wherein odd parts are distinct (and even parts are unrestricted). We find some new interesting congruences for pod(n) modulo 3, 5 and 9.

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(Concerned with sequences A000041 A006950.)

Received January 8 2015; revised version received February 22 2015. Published in Journal of Integer Sequences, May 12 2015.

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