19. (a) Find a generating function for an, the number of partitions that add up to at most n. (b) Find a generating function for an, the number of partitions of n into three parts in which no part is larger than the sum of the other two.
19. (a) Find a generating function for an, the number of partitions that add up to at most n. (b) Find a generating function for an, the number of partitions of n into three parts in which no part is larger than the sum of the other two.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 54E
Question
No chatgpt pls
Transcribed Image Text:19. (a) Find a generating function for an, the number of partitions that add up to at
most n.
(b) Find a generating function for an, the number of partitions of n into three
parts in which no part is larger than the sum of the other two.
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