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
Keywords
Links
- Alois P. Heinz, Table of n, a(n) for n = 0..34
Crossrefs
Column k=9 of A238010.
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