A294047 a(n) = n! * [x^n] exp(1/(1-x)^n - 1).

1, 1, 10, 195, 6136, 280745, 17452296, 1406162695, 141881576320, 17464107109329, 2568781033444000, 444027365181074411, 88960718926056936960, 20419945656807380230105, 5317219394033953475875456, 1557341699638685065316319375, 509241278697083918035944964096

Offset

0,3

Links

Seiichi Manyama, Table of n, a(n) for n = 0..257

Maple

S:=series(exp(1/(1-x)^n-1), x, 31):
seq(n!*coeff(S, x, n), n=0..30); # Robert Israel, Oct 22 2017

Mathematica

Table[n!*SeriesCoefficient[Exp[1/(1-x)^n - 1], {x, 0, n}], {n, 0, 20}] (* Vaclav Kotesovec, Oct 22 2017 *)

Crossrefs

Main diagonal of A294046.

Sequence in context: A365176 A126463 A239766 * A239768 A239769 A152561

Adjacent sequences: A294044 A294045 A294046 * A294048 A294049 A294050

Keyword

nonn

Author

Seiichi Manyama, Oct 22 2017

Status

approved