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

Author

Alois P. Heinz, May 25 2015

Keywords

• nonn

Links

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

Crossrefs

Column k=7 of A258280.

Formula

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

Extensions

More terms from Alois P. Heinz, Apr 03 2017