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

Author

Alois P. Heinz, May 25 2015

Keywords

• nonn

Examples

			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].
		

Links

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

Crossrefs

Column k=5 of A258280.

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).