The convolution sum, is evaluated for a ∈ {0, 1, 2, 3} and all n ∈ ℕ. This completes the partial evaluation given in the paper of J. G. Huard, Z. M. Ou, B. K. Spearman, K. S. Williams.

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doi.org/10.1007/s10587-009-0052-0
Czechoslovak Mathematical Journal
School of Mathematics and Statistics

Alaca, A, Alaca, S, & Williams, K.S. (2009). Evaluation of the sums. Czechoslovak Mathematical Journal, 59(3), 847–859. doi:10.1007/s10587-009-0052-0