A293055 a(n) = n! * [x^n] Product_{k>0} exp(binomial(n+k-1,n)*x^k).

1, 1, 7, 85, 1561, 40501, 1414351, 63752137, 3580066225, 243666746281, 19695440339191, 1861672467512221, 203222602188410377, 25344097136222687005, 3576607716683440603711, 566387437351728771087121, 99916441198022855099556961, 19511402630734166295545687377

Offset: 0

Author

Seiichi Manyama, Sep 29 2017

Keywords

• nonn

Crossrefs

Cf. A293012.

Programs

Mathematica

Table[n!*SeriesCoefficient[Exp[x/(1-x)^(n+1)], {x, 0, n}], {n, 0, 20}] (* Vaclav Kotesovec, Sep 29 2017 *)

Formula

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