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%I #5 May 10 2013 12:44:44
%S 1,2,1,10,8,2,82,86,36,6,938,1202,668,192,24,13778,20772,14118,5452,
%T 1200,120,247210,427828,341122,161688,48312,8640,720,5240338,10228458,
%U 9325398,5184902,1909920,467784,70560,5040,128149802,278346286
%N A triangle related to rooted trees.
%C The rows sum to A006963, the alternating sum is A000311, the right column is A000142, the left column is related to A032188 (twice); the second-to-right column is A052582
%F E.g.f. given by the Maple expression RootOf(-exp(_Z*x*t)+x*t*exp(_Z*x*t)+y*t*exp(-_Z+_Z*x*t)-y*t^2*x*exp(-_Z+_Z*x*t)+1-t+t*exp(-_Z+_Z*x*t)-x*t*exp(-_Z+_Z*x*t));
%e {1}, {2,1}, {10,8,2}, {82,86,36,6}, {938,1202,668,192,24}
%Y Cf. A006963, A000311, A000142, A032188, A052582.
%K nonn,tabl
%O 1,2
%A _F. Chapoton_, Apr 20 2001
%E More terms from _Vladeta Jovovic_, Apr 21 2001
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