A238565 - OEIS

%I #6 Jun 05 2015 16:59:04

%S 0,1,33,22102,478968264,400686586344699,14330879421541116923943,

%T 23444113544017670689348160755868,

%U 1841159754991692001851990839259642586671980,7197738918090981779157236361118960948634130123398244711

%N Number of partitions of 8^n into parts that are at most n.

%H Alois P. Heinz, <a href="/A238565/b238565.txt">Table of n, a(n) for n = 0..35</a>

%F a(n) = [x^(8^n)] Product_{j=1..n} 1/(1-x^j).

%F a(n) ~ 8^(n*(n-1)) / (n!*(n-1)!). - _Vaclav Kotesovec_, Jun 05 2015

%Y Column k=8 of A238010.

%K nonn

%O 0,3

%A _Alois P. Heinz_, Feb 28 2014