A132060 Row sums of triangle A132056 (S2(8), Stirling2 generalization).

1, 9, 145, 3361, 101601, 3786601, 167756689, 8611201665, 502522701121, 32854723149961, 2378687990172561, 188913154677765409, 16328988725252964385, 1525987835722540609641, 153312690475268723848081

Offset: 1

Author

Wolfdieter Lang Sep 14 2007

Keywords

• nonn
• easy

Comments

Generalized Bell numbers B(8,1;n).

Crossrefs

Cf. A092084 (row sums of S2(7)=A092082).

Programs

Mathematica

With[{nn=30},Rest[CoefficientList[Series[Exp[-1+(1-7x)^(-1/7)]-1,{x,0,nn}],x] Range[0,nn]!]] (* Harvey P. Dale, Sep 23 2011 *)

Formula

a(n)=sum(A132056(n, m), m=1..n), n>=1.

E.g.f.: exp(-1+(1-7*x)^(-1/7)) - 1.