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%I #4 Dec 01 2015 09:37:59
%S 1,1,1,8,16,243,4096,78125,1679616,134217728,10000000000,743008370688,
%T 129746337890625,20822964865671168,6221821273427820544,
%U 2954312706550833698643,1208925819614629174706176,718325266223569592115396608,850434696123579966501779931136
%N a(n) = q(n)^n, where q(n) = partition numbers into distinct parts (A000009).
%H Vaclav Kotesovec, <a href="/A265094/b265094.txt">Table of n, a(n) for n = 0..140</a>
%F a(n) ~ exp(n^(3/2)*Pi/sqrt(3) + (Pi/(48*sqrt(3)) - 3*sqrt(3)/(8*Pi))*sqrt(n) - 1/32 - 9/(16*Pi^2)) / (3^(n/4) * 4^n * n^(3*n/4)).
%t Table[PartitionsQ[n]^n,{n,0,20}]
%Y Cf. A133018.
%K nonn
%O 0,4
%A _Vaclav Kotesovec_, Dec 01 2015
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