OFFSET
0,4
FORMULA
EXAMPLE
1,
1, 1,
2, 1, 1,
3, 3, 0, 1,
18, 14, 9, 0, 1,
95, 75, 35, 10, 0, 1,
540, 369, 135, 55, 15, 0, 1,
3759, 2800, 1239, 420, 70, 21, 0, 1
T(3,0)=3 because we have: (1)(2)(3);(1,2,3);(2,1,3)
MATHEMATICA
nn=10; c=Sum[y^n x^(3n)/(2^n*n!^2), {n, 0, nn}]; Table[Take[(Range[0, nn]!CoefficientList[Series[Exp[y x]Exp[-x]/(1-x)+Exp[y x^2/2]Exp[-x^2/2]/(1-x)-c Exp[-x-x^2/2!]/(1-x), {x, 0, nn}], {x, y}])[[n]], n], {n, 1, nn}]//Grid
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Geoffrey Critzer, Feb 15 2014
STATUS
approved