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%I #6 Jul 05 2021 07:22:15
%S 1,0,3,17,330,8074,295792,14593424,939884432,76503823776,
%T 7681082731344,932507036530992,134658378428217696,
%U 22811930868689642016,4480422956516411159616,1009922628068732158507584,258952863907653970063080960
%N a(n) = sum(abs(stirling1(n+1,k+1))*(-1)^(n-k)*k!^2,k=0..n).
%F a(n) ~ exp(-1/2) * n!^2. - _Vaclav Kotesovec_, Jul 05 2021
%t Table[Sum[Abs[StirlingS1[n+1,k+1]](-1)^(n-k)k!^2,{k,0,n}],{n,0,100}]
%o (Maxima) makelist(sum(abs(stirling1(n+1,k+1))*(-1)^(n-k)*k!^2,k,0,n),n,0,24);
%K nonn
%O 0,3
%A _Emanuele Munarini_, Jul 04 2011
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