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

1,2

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

Links

Table of n, a(n) for n=1..38.

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));

Example

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

Crossrefs

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

Sequence in context: A219900 A136233 A113088 * A217108 A127259 A152260

Adjacent sequences: A060691 A060692 A060693 * A060695 A060696 A060697

Keyword

nonn,tabl

Author

F. Chapoton, Apr 20 2001

Extensions

More terms from Vladeta Jovovic, Apr 21 2001

Status

approved