A238610 Number of partitions of n^5 into parts that are at most n.

1, 1, 17, 5043, 7566280, 33432635477, 331281477244572, 6242342067484101895, 200386212932492140762672, 10133053906998476170548376403, 761287353202857218355451068558296, 81209207250425252838671771562105020103, 11863819168025774694177783984734986151951164

Offset

0,3

Links

Alois P. Heinz, Table of n, a(n) for n = 0..60

Formula

a(n) = [x^(n^5)] Product_{j=1..n} 1/(1-x^j).

a(n) ~ exp(2*n) * n^(3*n-5) / (2*Pi). - Vaclav Kotesovec, May 25 2015

Crossrefs

Column k=5 of A238016.

Sequence in context: A161583 A013722 A357419 * A052286 A079687 A362434

Adjacent sequences: A238607 A238608 A238609 * A238611 A238612 A238613

Keyword

nonn

Author

Alois P. Heinz, Mar 01 2014

Status

approved