A238563 - OEIS

%I #6 Jun 05 2015 16:57:50

%S 0,1,19,3997,15292153,1274403730688,2561606354507677872,

%T 132653831108423573746282961,185588704806236441807500779350272919,

%U 7271336250750488290453701705473754841288395525,8205182525221704785195056768847594152799767482152756236799

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

%H Alois P. Heinz, <a href="/A238563/b238563.txt">Table of n, a(n) for n = 0..36</a>

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

%F a(n) ~ 6^(n*(n-1)) / (n!*(n-1)!). - _Vaclav Kotesovec_, Jun 05 2015

%Y Column k=6 of A238010.

%K nonn

%O 0,3

%A _Alois P. Heinz_, Feb 28 2014