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%I #7 Jan 31 2024 08:06:13
%S 1,-1,2,21,-104,-8245,-124344,7728581,757142912,21142327671,
%T -3194024271200,-589138966169611,-38768504982354432,
%U 4948651031184677219,2022468386748039472256,303711906641250589741125,-7986432746850744238505984,-19535207301291993249120303121
%N a(n) = n! * [x^n] exp(1 - (1+x)^n).
%F a(n) = Sum_{k=0..n} n^k * Stirling1(n,k) * A000587(k).
%Y Main diagonal of A369738.
%Y Cf. A000587, A294045.
%K sign
%O 0,3
%A _Seiichi Manyama_, Jan 31 2024