Journal of Integer Sequences, Vol. 24 (2021), Article 21.6.6

New Recursion Formulas for the Partition Function

Teerapat Srichan, Watcharapon Pimsert, and Vichian Laohakosol
Department of Mathematics
Faculty of Science
Kasetsart University
Bangkok 10900


We derive several new recursion formulas for the unrestricted partition function as applications of a general recursion formula for a novel restricted partition function.

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(Concerned with sequences A000041 A008284.)

Received March 23 2021; revised version received May 20 2021. Published in Journal of Integer Sequences, May 20 2021.

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