Show that the generating function for the number of self-conjugate partitions of n is (1– x²)(1 – x*)(1 – x^).… (1 – x2k)' - k=0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.10: Partial Fractions
Problem 12E
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Show that the generating function for the number of self-conjugate partitions of n is
00
Σ
L(1- x²)(1 – x4)(1 – x6).….· (1 – x2k)'
...
k=0
Transcribed Image Text:Show that the generating function for the number of self-conjugate partitions of n is 00 Σ L(1- x²)(1 – x4)(1 – x6).….· (1 – x2k)' ... k=0
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