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

Author

Christian G. Bower, Jun 09 2000

Keywords

• nonn
• tabl

Examples

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

Links

• N. J. A. Sloane, Transforms

Crossrefs

Row sums give A000258.

Programs

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 *)

Formula

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