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
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
Extensions
More terms from Vladeta Jovovic, May 07 2005