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Number of partitions of 10^n into parts that are at most n.
2

%I #6 Jun 05 2015 17:00:16

%S 0,1,51,83834,6954866112,34732639965323612,11574681724845786651679939,

%T 275575507062293332528670070330578043,

%U 492095606182604983628979092635386202795929807572,68346538155515186680097859376764556127526656338966443473179293

%N Number of partitions of 10^n into parts that are at most n.

%H Alois P. Heinz, <a href="/A238567/b238567.txt">Table of n, a(n) for n = 0..33</a>

%F a(n) = [x^(10^n)] Product_{j=1..n} 1/(1-x^j).

%F a(n) ~ 10^(n*(n-1)) / (n!*(n-1)!). - _Vaclav Kotesovec_, Jun 05 2015

%Y Column k=10 of A238010.

%K nonn

%O 0,3

%A _Alois P. Heinz_, Feb 28 2014