OFFSET
0,7
FORMULA
E.g.f. for column k: x^k/k! *A(x)/exp(x) where A(x) is the e.g.f. for A006125.
T(n,n) = 1 (the empty graph). - Geoffrey Critzer, Nov 11 2011
T(n,n-1) = 0. - Geoffrey Critzer, Nov 11 2011
EXAMPLE
1;
0, 1;
1, 0, 1;
4, 3, 0, 1;
41, 16, 6, 0, 1;
768, 205, 40, 10, 0, 1;
27449, 4608, 615, 80, 15, 0, 1;
1887284, 192143, 16128, 1435, 140, 21, 0, 1;
MATHEMATICA
g=Sum[2^Binomial[n, 2]x^n/n!, {n, 0, 20}]; Transpose[Table[Range[0, 10]! CoefficientList[Series[(x^n/n!)( g/Exp[x]), {x, 0, 10}], x], {n, 0, 8}]]//Grid
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Geoffrey Critzer, Oct 22 2011
STATUS
approved