For ra, n, r Z+, let p(m, n, r) count the number of partitions of ra into

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For ra, n, r ˆˆ Z+, let p(m, n, r) count the number of partitions of ra into at most n (positive) summands each no larger than r. Evaluate
Σ-3

P(k(n + 1), n, n), n ˆˆ Z+.

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