A258282 Number of partitions of 4 copies of n into distinct parts.

1, 1, 5, 7, 20, 31, 75, 118, 266, 401, 841, 1345, 2581, 4023, 7758, 11932, 21543, 33941, 59099, 91816, 159059, 242955, 407523, 634827, 1032202, 1576276, 2572429, 3888631, 6177754, 9400070, 14665453, 22055721, 34349618, 51033150, 78166821, 116800290, 176090572

Offset: 7

Author

Alois P. Heinz, May 25 2015

Keywords

• nonn

Examples

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

Links

• Alois P. Heinz, Table of n, a(n) for n = 7..100

Crossrefs

Column k=4 of A258280.

Formula

a(n) = 1/4! * [(x*y*z*u)^n] Product_{j>0} (1+x^j+y^j+z^j+u^j).