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%I #2 Mar 31 2012 10:22:05
%S 1,4,34,553,13929,504211,24804343,1592201163,129266762933,
%T 12950610156346,1569397748147942,226278584786787360,
%U 38281932323382968320,7510129222684065660928,1691120063240224255246336
%N Integer nearest to expression 2 Pi n^(2 n + 1) e^(-2 n).
%C Integers in this sequence are <= (n!)^2 (see A001044)
%F a(n) = Round[2 Pi n^(2 n + 1)E^(-2 n)]
%t Table[Round[N[2 Pi n^(2 n + 1)E^(-2 n)]], {n, 1, 30}]
%Y Cf. A001044, A134354.
%K nonn
%O 1,2
%A _Artur Jasinski_, Oct 22 2007
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