%I #13 Oct 24 2017 09:30:03
%S 1,1,10,195,6136,280745,17452296,1406162695,141881576320,
%T 17464107109329,2568781033444000,444027365181074411,
%U 88960718926056936960,20419945656807380230105,5317219394033953475875456,1557341699638685065316319375,509241278697083918035944964096
%N a(n) = n! * [x^n] exp(1/(1-x)^n - 1).
%H Seiichi Manyama, <a href="/A294047/b294047.txt">Table of n, a(n) for n = 0..257</a>
%p S:=series(exp(1/(1-x)^n-1),x,31):
%p seq(n!*coeff(S,x,n),n=0..30); # _Robert Israel_, Oct 22 2017
%t Table[n!*SeriesCoefficient[Exp[1/(1-x)^n - 1], {x, 0, n}], {n, 0, 20}] (* _Vaclav Kotesovec_, Oct 22 2017 *)
%Y Main diagonal of A294046.
%K nonn
%O 0,3
%A _Seiichi Manyama_, Oct 22 2017