A238563 Number of partitions of 6^n into parts that are at most n.

0, 1, 19, 3997, 15292153, 1274403730688, 2561606354507677872, 132653831108423573746282961, 185588704806236441807500779350272919, 7271336250750488290453701705473754841288395525, 8205182525221704785195056768847594152799767482152756236799

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=6 of A238010.

Formula

a(n) = [x^(6^n)] Product_{j=1..n} 1/(1-x^j).

a(n) ~ 6^(n*(n-1)) / (n!*(n-1)!). - Vaclav Kotesovec, Jun 05 2015