Solving Recurrence Relation using Generating Functions: a_n = 4a_(n-1)

Math Problem Statement

Solve the recurrence relation a_n = 4a_(n-1) - 4a_(n-2) + n^n for n ≥ 2.

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Recurrence Relations
Generating Functions
Discrete Mathematics

a_n = 4a_(n-1) - 4a_(n-2) + n^n
Generating function: G(k) = 7G(k-1) - 10G(k-2)

Recurrence Relation Solution Theorem
Generating Function Method for Recurrence Relations

Undergraduate Discrete Mathematics

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