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A055896 Exponential transform of Stirling-2 triangle A008277. 2
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 (list; table; graph; refs; listen; history; text; internal format)
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

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

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Last modified October 21 14:52 EDT 2019. Contains 328301 sequences. (Running on oeis4.)