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For r E N*, let a, be the number of integer solutions to the inequality x1 + 22 + x3 + x4

For r E N*, let a, be the number of integer solutions to the inequality x1 + 22 + x3 + x4

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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For r E N*, let a, be the number of integer solutions to the inequality x1 + x2 + x3 + 24 < r, where 3 < 21 < 9, 1< x2 < 10, 23 2 2 and r4 > 0. Find the generating function for the sequence (ar) and the value of a20.
Transcribed Image Text:For r E N*, let a, be the number of integer solutions to the inequality x1 + x2 + x3 + 24 < r, where 3 < 21 < 9, 1< x2 < 10, 23 2 2 and r4 > 0. Find the generating function for the sequence (ar) and the value of a20.
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