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A triangle related to rooted trees.
0

%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