A058735 Triangle of coefficients in expansion of enumerators for series-reduced rooted trees by lines at the root.

1, 1, 1, 1, 1, 3, 1, 1, 3, 7, 1, 1, 3, 8, 20, 1, 1, 3, 8, 22, 55, 1, 1, 3, 8, 23, 63, 162, 1, 1, 3, 8, 23, 65, 188, 477, 1, 1, 3, 8, 23, 66, 196, 564, 1450, 1, 1, 3, 8, 23, 66, 198, 590, 1732, 4446, 1, 1, 3, 8, 23, 66, 199, 598, 1824, 5384, 13858, 1, 1, 3, 8, 23, 66, 199, 600, 1850

Offset

0,6

References

J. Riordan, The blossoming of Schroeder's fourth problem, Acta Math., 137 (1976), 1-16.

Links

Table of n, a(n) for n=0..74.

Sean A. Irvine, Java program (github)

Index entries for sequences related to rooted trees

Example

Triangle begins:
  1;
  1,1;
  1,1,3;
  1,1,3,7;
  ...

Crossrefs

Main diagonal is A058737.

Cf. A000669 (row sums).

Sequence in context: A089312 A246674 A363340 * A107294 A161788 A345468

Adjacent sequences: A058732 A058733 A058734 * A058736 A058737 A058738

Keyword

nonn,tabl

Author

N. J. A. Sloane, Jan 01 2001

Extensions

More terms from Vladeta Jovovic, May 07 2005

Status

approved