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

Author

N. J. A. Sloane, Jan 01 2001

Keywords

• nonn
• tabl

Examples

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

References

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

Links

• Sean A. Irvine, Java program (github)
• Index entries for sequences related to rooted trees

Crossrefs

Main diagonal is A058737.

Cf. A000669 (row sums).

Extensions

More terms from Vladeta Jovovic, May 07 2005