Number Patterns

May 2010
10
0
An unrestricted (order does not count, equality of sizes is ok) partition is called self-conjugate if it is identical with its conjugate. E.g. 8 = 4 + 2 + 1 + 1. Show that the number of self-conjugate unrestricted partitions of n is equal to the number of partitions of n into distinct odd parts, and express this result as an identity of generating functions.
 

Plato

MHF Helper
Aug 2006
22,461
8,632
An unrestricted (order does not count, equality of sizes is ok) partition is called self-conjugate if it is identical with its conjugate.
Please define that term.
I have done many problems with partitions of integers, but I have never seen that term.