(4) Determine the generating function for the sequence ho, h1, ..., where hn = #((a1, a2, a3, a4) | a1 + a2 + az + a4 = n, a1, a2, A3, ɑ4 are non-negative integers, a1 > 0, 2 divides a2, 3 divides a3, and 4 divides a4).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 34E
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(4) Determine the generating function for the sequence ho, h1, . . ., where
hm = #((a1, a2, A3, a4) | a1 + az + ɑz + a4 = n,
0,
a1, a2, a3, A4 are non-negative integers, a1
2 divides a2, 3 divides a3, and 4 divides a4).
Transcribed Image Text:(4) Determine the generating function for the sequence ho, h1, . . ., where hm = #((a1, a2, A3, a4) | a1 + az + ɑz + a4 = n, 0, a1, a2, a3, A4 are non-negative integers, a1 2 divides a2, 3 divides a3, and 4 divides a4).
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