A073480 - OEIS

%I #13 Aug 14 2017 02:40:09

%S 1,1,2,5,3,3,14,20,6,4,94,70,50,10,5,444,564,210,100,15,6,3828,3108,

%T 1974,490,175,21,7,25584,30624,12432,5264,980,280,28,8,270576,230256,

%U 137808,37296,11844,1764,420,36,9,2342880,2705760,1151280,459360,93240

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

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

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

%p 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

%Y Cf. A073107.

%K easy,nonn,tabl

%O 1,3

%A _Vladeta Jovovic_, Aug 26 2002

%E More terms from _Emeric Deutsch_, Dec 14 2004