A060694 A triangle related to rooted trees.

1, 2, 1, 10, 8, 2, 82, 86, 36, 6, 938, 1202, 668, 192, 24, 13778, 20772, 14118, 5452, 1200, 120, 247210, 427828, 341122, 161688, 48312, 8640, 720, 5240338, 10228458, 9325398, 5184902, 1909920, 467784, 70560, 5040, 128149802, 278346286

Offset: 1

Author

F. Chapoton, Apr 20 2001

Keywords

• nonn
• tabl

Comments

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

Examples

			{1}, {2,1}, {10,8,2}, {82,86,36,6}, {938,1202,668,192,24}
		

Crossrefs

Cf. A006963, A000311, A000142, A032188, A052582.

Formula

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));

Extensions

More terms from Vladeta Jovovic, Apr 21 2001