A238566 Number of partitions of 9^n into parts that are at most n.

0, 1, 41, 44652, 1965803130, 4223556692359571, 490686876939553950148311, 3299362171812031624458362654344896, 1347816410652573760215295879527613786555869189, 34687845413783594101366282545316028561007822069601179170488

Offset

0,3

Links

Alois P. Heinz, Table of n, a(n) for n = 0..34

Formula

a(n) = [x^(9^n)] Product_{j=1..n} 1/(1-x^j).

a(n) ~ 9^(n*(n-1)) / (n!*(n-1)!). - Vaclav Kotesovec, Jun 05 2015

Crossrefs

Column k=9 of A238010.

Sequence in context: A218377 A258488 A297052 * A241327 A206358 A222923

Adjacent sequences: A238563 A238564 A238565 * A238567 A238568 A238569

Keyword

nonn

Author

Alois P. Heinz, Feb 28 2014

Status

approved