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

0,3

Links

Table of n, a(n) for n=0..17.

Formula

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

Mathematica

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

Crossrefs

Cf. A293012.

Sequence in context: A346984 A361065 A056547 * A363357 A378410 A121020

Adjacent sequences: A293052 A293053 A293054 * A293056 A293057 A293058

Keyword

nonn

Author

Seiichi Manyama, Sep 29 2017

Status

approved