A238564 Number of partitions of 7^n into parts that are at most n.

0, 1, 25, 9976, 96721601, 27755132198233, 260988425663232777762, 85980297709044488588773397089, 1041234796567281969389323426605470061650, 480592801966130874383703685770422428530605893693255, 8695567207026865032892758221262809270061815825979643751114435291

Offset: 0

Author

Alois P. Heinz, Feb 28 2014

Keywords

• nonn

Links

• Alois P. Heinz, Table of n, a(n) for n = 0..36

Crossrefs

Column k=7 of A238010.

Formula

a(n) = [x^(7^n)] Product_{j=1..n} 1/(1-x^j).

a(n) ~ 7^(n*(n-1)) / (n!*(n-1)!). - Vaclav Kotesovec, Jun 05 2015