A049434 Stirling numbers of second kind: 8th column of Stirling2 triangle A008277.

1, 36, 750, 11880, 159027, 1899612, 20912320, 216627840, 2141764053, 20415995028, 189036065010, 1709751003480, 15170932662679, 132511015347084, 1142399079991620, 9741955019900400, 82318282158320505, 690223721118368580, 5749622251945664950

Offset

8,2

References

See A000771.

Links

Table of n, a(n) for n=8..26.

Formula

G.f.: x^8/product_{k=1..8} (1-k*x).

E.g.f.: ((exp(x)-1)^8)/8!.

a(n) = det(|s(i+8,j+7)|, 1 <= i,j <= n-8), where s(n,k) are Stirling numbers of the first kind. - Mircea Merca, Apr 06 2013

Mathematica

lst={}; Do[f=StirlingS2[n, 8]; AppendTo[lst, f], {n, 8, 5!}]; lst (* Vladimir Joseph Stephan Orlovsky, Sep 27 2008 *)
CoefficientList[Series[1/((1 - x) (1 - 2 x) (1 - 3 x) (1 - 4 x) (1 - 5 x) (1 - 6 x) (1 - 7 x) (1 - 8 x)), {x, 0, 25}], x] (* Vladimir Joseph Stephan Orlovsky, Jun 20 2011 *)

Crossrefs

Cf. A000225, A000392, A000453, A000481, A000770, A000771, A049435. a(n)= A008277(n, 8).

Sequence in context: A058001 A004329 A089909 * A327509 A215768 A320821

Adjacent sequences: A049431 A049432 A049433 * A049435 A049436 A049437

Keyword

easy,nonn

Author

Wolfdieter Lang

Status

approved