A073480 Triangle T(n,k) read by rows, where e.g.f. for T(n,k) is exp(x*y)*log(1+x)/(1-x).

1, 1, 2, 5, 3, 3, 14, 20, 6, 4, 94, 70, 50, 10, 5, 444, 564, 210, 100, 15, 6, 3828, 3108, 1974, 490, 175, 21, 7, 25584, 30624, 12432, 5264, 980, 280, 28, 8, 270576, 230256, 137808, 37296, 11844, 1764, 420, 36, 9, 2342880, 2705760, 1151280, 459360, 93240

Offset: 1

Author

Vladeta Jovovic, Aug 26 2002

Keywords

• easy
• nonn
• tabl

Crossrefs

Cf. A073107.

Programs

Maple

G:=exp(x*y)*ln(1+x)/(1-x): Gser:=series(G,x=0,12): for n from 1 to 10 do P[n]:=n!*coeff(Gser,x^n) od: for n from 1 to 10 do seq(coeff(y*P[n],y^k),k=1..n) od; # Emeric Deutsch, Dec 14 2004

Formula

E.g.f. for k-th column is x^k/k!*log(1+x)/(1-x).

O.g.f. for n-th row is Sum_{i=0..n} binomial(n, i)*A024167(n-i)*y^i.

Extensions

More terms from Emeric Deutsch, Dec 14 2004