On parity and recurrences for certain partition functions
DOI:
https://doi.org/10.11575/cdm.v15i1.67964Abstract
In this paper, parity and recurrence formulas for some partition functions are given. In particular, a new recurrence for the number of partitions of a positive integer into distinct parts is derived and some identities reminiscent of Legendre's partition-theoretic interpretation of Euler's pentagonal numbers theorem are obtained.
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