A258288 Number of partitions of 10 copies of n into distinct parts.

1, 1, 11, 16, 99, 174, 875, 1657, 7352, 13655, 55787, 107946, 393317, 751343, 2624771, 5056414, 16243829, 31688464, 96658985

Offset

19,3

Links

Table of n, a(n) for n=19..37.

Formula

a(n) = 1/10! * [Product_{i=1..10} x_i^n] Product_{j>0} (1+Sum_{i=1..10} x_i^j).

Crossrefs

Column k=10 of A258280.

Sequence in context: A032146 A032051 A085487 * A166663 A032327 A032075

Adjacent sequences: A258285 A258286 A258287 * A258289 A258290 A258291

Keyword

nonn

Author

Alois P. Heinz, May 25 2015

Status

approved