|
|
A132060
|
|
Row sums of triangle A132056 (S2(8), Stirling2 generalization).
|
|
1
|
|
|
1, 9, 145, 3361, 101601, 3786601, 167756689, 8611201665, 502522701121, 32854723149961, 2378687990172561, 188913154677765409, 16328988725252964385, 1525987835722540609641, 153312690475268723848081
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,2
|
|
COMMENTS
|
Generalized Bell numbers B(8,1;n).
|
|
LINKS
|
|
|
FORMULA
|
a(n)=sum(A132056(n, m), m=1..n), n>=1.
E.g.f.: exp(-1+(1-7*x)^(-1/7)) - 1.
|
|
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 *)
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|