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Row sums of triangle A132056 (S2(8), Stirling2 generalization).
1

%I #5 Nov 21 2013 12:49:06

%S 1,9,145,3361,101601,3786601,167756689,8611201665,502522701121,

%T 32854723149961,2378687990172561,188913154677765409,

%U 16328988725252964385,1525987835722540609641,153312690475268723848081

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

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

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

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

%t 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 *)

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

%K nonn,easy

%O 1,2

%A _Wolfdieter Lang_ Sep 14 2007