A258287 Number of partitions of 9 copies of n into distinct parts.

1, 1, 10, 14, 82, 145, 652, 1198, 4880, 9095, 33810, 61933, 212087, 405116, 1261067, 2366558, 7163718, 13477035, 37969720, 72363916, 194919282

Offset

17,3

Links

Table of n, a(n) for n=17..37.

Formula

a(n) = 1/9! * [Product_{i=1..9} x_i^n] Product_{j>0} (1+Sum_{i=1..9} x_i^j).

Crossrefs

Column k=9 of A258280.

Sequence in context: A247091 A025122 A173684 * A254003 A219682 A167334

Adjacent sequences: A258284 A258285 A258286 * A258288 A258289 A258290

Keyword

nonn

Author

Alois P. Heinz, May 25 2015

Status

approved