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

Author

Alois P. Heinz, May 25 2015

Keywords

• nonn

Examples

			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].
		

Links

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

Crossrefs

Column k=6 of A258280.

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).