A258283 Number of partitions of 5 copies of n into distinct parts.

1, 1, 6, 8, 29, 47, 134, 213, 559, 939, 2178, 3564, 8184, 13225, 27904, 46376, 93151, 153022, 302948, 489271, 931845, 1540667, 2818014, 4565768, 8369128, 13423638, 23782711, 38552461, 66714197, 106889113, 184313769, 291358130, 491972639, 785299762, 1298230358

Offset

9,3

Links

Alois P. Heinz, Table of n, a(n) for n = 9..50

Formula

a(n) = 1/5! * [(x*y*z*u*v)^n] Product_{j>0} (1+x^j+y^j+z^j+u^j+v^j).

Example

a(11) = 6: [11;10,1;9,2;8,3;7,4], [11;10,1;9,2;8,3;6,5], [11;10,1;9,2;7,4;6,5], [11;10,1;8,3;7,4;6,5], [11;9,2;8,3;7,4;6,5], [10,1;9,2;8,3;7,4;6,5].

Crossrefs

Column k=5 of A258280.

Sequence in context: A007829 A345003 A000773 * A039720 A056097 A099431

Adjacent sequences: A258280 A258281 A258282 * A258284 A258285 A258286

Keyword

nonn

Author

Alois P. Heinz, May 25 2015

Status

approved