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

15,3

Links

Table of n, a(n) for n=15..40.

Formula

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

Crossrefs

Column k=8 of A258280.

Sequence in context: A271052 A305650 A099580 * A166662 A108748 A116106

Adjacent sequences: A258283 A258284 A258285 * A258287 A258288 A258289

Keyword

nonn

Author

Alois P. Heinz, May 25 2015

Status

approved