A258284 Number of partitions of 6 copies of n into distinct parts.

1, 1, 7, 10, 40, 64, 215, 373, 1076, 1823, 5052, 8519, 21279, 36836, 86354, 148550, 338354, 571638, 1242227, 2156661, 4453444, 7573979, 15612927, 26325001, 52042210, 88853970, 170752721, 288367364, 550431942, 916369374, 1706148831, 2877961566, 5219075925

Offset

11,3

Links

Alois P. Heinz, Table of n, a(n) for n = 11..50

Formula

a(n) = 1/6! * [(x*y*z*u*v*w)^n] Product_{j>0} (1+x^j+y^j+z^j+u^j+v^j+w^j).

Example

a(13) = 7: [13;12,1;11,2;10,3;9,4;8,5], [13;12,1;11,2;10,3;9,4;7,6], [13;12,1;11,2;10,3;8,5;7,6], [13;12,1;11,2;9,4;8,5;7,6], [13;12,1;10,3;9,4;8,5;7,6], [13;11,2;10,3;9,4;8,5;7,6], [12,1;11,2;10,3;9,4;8,5;7,6].

Crossrefs

Column k=6 of A258280.

Sequence in context: A241251 A126076 A341736 * A099579 A056521 A056510

Adjacent sequences: A258281 A258282 A258283 * A258285 A258286 A258287

Keyword

nonn

Author

Alois P. Heinz, May 25 2015

Status

approved