Journal of Integer Sequences, Vol. 23 (2020), Article 20.11.8

New Partition Function Recurrences

Robson da Silva and Pedro Diniz Sakai
Departamento de Ciência e Tecnologia
Universidade Federal de São Paulo
São José dos Campos, SP, 12247–014


We present Euler-type recurrence relations for some partition functions. Some of our results provide new recurrences for p(n) the number of unrestricted partitions of n. Others establish recurrences for partition functions not yet considered.

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(Concerned with sequences A000009 A000041 A000217 A000700 A001318 A014493 A014494 A014632 A014633 A015128 A027187 A027193 A085787.)

Received September 9 2020; revised version received December 24 2020. Published in Journal of Integer Sequences, December 28 2020.

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