A258285 Number of partitions of 7 copies of n into distinct parts.

1, 1, 8, 11, 52, 91, 326, 567, 1925, 3361, 10114, 17998, 50084, 89303, 236472, 414418, 1036205, 1872828, 4394636, 7781405, 18111119, 31868623, 70513669, 125728510, 269084037, 475275290, 1005278492, 1749029589, 3594394017, 6355048530, 12651552078, 22036692845, 43804062866, 75652893831

Offset

13,3

Links

Alois P. Heinz, Table of n, a(n) for n = 13..49

Formula

a(n) = 1/7! * [Product_{i=1..7} x_i^n] Product_{j>0} (1+Sum_{i=1..7} x_i^j).

Crossrefs

Column k=7 of A258280.

Sequence in context: A303883 A304889 A192427 * A166673 A107788 A038289

Adjacent sequences: A258282 A258283 A258284 * A258286 A258287 A258288

Keyword

nonn

Author

Alois P. Heinz, May 25 2015

Extensions

More terms from Alois P. Heinz, Apr 03 2017

Status

approved