A055896 Exponential transform of Stirling2 triangle A008277.

1, 1, 2, 1, 6, 5, 1, 14, 30, 15, 1, 30, 125, 150, 52, 1, 62, 450, 975, 780, 203, 1, 126, 1505, 5250, 7280, 4263, 877, 1, 254, 4830, 25515, 54600, 53998, 24556, 4140, 1, 510, 15125, 116550, 361452, 537138, 405174, 149040, 21147, 1, 1022, 46650

Offset

1,3

Links

Table of n, a(n) for n=1..48.

N. J. A. Sloane, Transforms

Formula

E.g.f.: A(x, y) = exp(exp(y*exp(x)-y)-1).

Example

Triangle begins
  1;
  1,   2;
  1,   6,   5;
  1,  14,  30,  15;
  1,  30, 125, 150,  52; ...

Mathematica

nn=8; a=Exp[x]-1; Drop[Map[Select[#, #>0&]&, Range[0, nn]! CoefficientList[Series[Exp[Exp[y a]-1], {x, 0, nn}], {x, y}]], 1]//Grid (* Geoffrey Critzer, Sep 22 2013 *)

Crossrefs

Row sums give A000258.

Sequence in context: A227159 A294439 A008970 * A193723 A260914 A159965

Adjacent sequences: A055893 A055894 A055895 * A055897 A055898 A055899

Keyword

nonn,tabl

Author

Christian G. Bower, Jun 09 2000

Status

approved