A238562 Number of partitions of 5^n into parts that are at most n.

0, 1, 13, 1365, 1736385, 33432635477, 10815459920194632, 62725487942251841319705, 6831392910998237157682785667015, 14474273684384810126076369987535894403747, 613458701796516369003780850311157775345255117642867

Offset

0,3

Links

Alois P. Heinz, Table of n, a(n) for n = 0..40

Formula

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

a(n) ~ 5^(n*(n-1)) / (n!*(n-1)!). - Vaclav Kotesovec, Jun 05 2015

Example

a(2) = 13: 2222222222221, 22222222222111, 222222222211111, 2222222221111111, 22222222111111111, 222222211111111111, 2222221111111111111, 22222111111111111111, 222211111111111111111, 2221111111111111111111, 22111111111111111111111, 211111111111111111111111, 1111111111111111111111111.

Crossrefs

Column k=5 of A238010.

Sequence in context: A221690 A197630 A222017 * A196966 A203369 A350305

Adjacent sequences: A238559 A238560 A238561 * A238563 A238564 A238565

Keyword

nonn

Author

Alois P. Heinz, Feb 28 2014

Status

approved