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%I #4 May 10 2013 12:45:31
%S 0,0,0,4,80,480,840,0,0,0,1,200,3840,27720,77280,45360,0,0,0,0,252,
%T 14664,263844,2192400,8709120,13819680,3991680,0,0,0,0,210,38340,
%U 1518790,26267360,240765840,1205492400,3068881200,3180038400,605404800
%N Triangle read by rows: T(n,m) = number of 3-uniform T_0-hypergraphs with n distinct edges and m vertices(n>=3, 1<=m<=2*n+1).
%F E.g.f.: (1+x)*exp(-x+x^2/2+x^3/3*y)*Sum((1+y)^binomial(n, 3)*exp(-x^2*(1+y)^n/2)*x^n/n!, n=0..infinity).
%e 0,0,0,4,80,480,840; 0,0,0,1,200,3840,27720,77280,45360; 0,0,0,0,252,14664,263844,2192400,8709120,13819680,3991680; ...
%K nonn,tabf
%O 3,4
%A Goran Kilibarda, _Vladeta Jovovic_, May 21 2004
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