A258286 Number of partitions of 8 copies of n into distinct parts.

1, 1, 9, 13, 66, 111, 475, 852, 3128, 5668, 19011, 34804, 108328, 195267, 567674, 1059291, 2849122, 5212695, 13785287, 25156313, 62613272, 115799409, 277245609, 508970856, 1196118973, 2161689541

Offset: 15

Author

Alois P. Heinz, May 25 2015

Keywords

• nonn

Crossrefs

Column k=8 of A258280.

Formula

a(n) = 1/8! * [Product_{i=1..8} x_i^n] Product_{j>0} (1+Sum_{i=1..8} x_i^j).