Another pentagonal number theorem

An earlier post presented Euler’s pentagonal number theorem. This post presents a similar theorem by N. J. Fine developed two centuries later. Define the jth pentagonal number by Pj = j(3j – 1) / 2 where j can be any integer, e.g. j can be negative. Theme Let De(n) is the number of distinct partitions […] The post Another pentagonal number theorem first appeared on John D. Cook....