A036608 Triangle of coefficients of generating function of 6-ary rooted trees of height at most n.

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 5, 7, 11, 14, 19, 24, 31, 37, 46, 52, 61, 68, 76, 81, 88, 90, 94, 94, 94, 90, 88, 81, 76, 68, 61, 52, 46, 37, 31, 24, 19, 14, 11, 7, 5, 3, 2, 1, 1, 1, 1, 1, 2, 4, 8, 15, 29, 52, 95, 168, 297, 513, 887, 1504, 2543, 4247

Offset

0,15

Links

Table of n, a(n) for n=0..71.

E. M. Rains and N. J. A. Sloane, On Cayley's Enumeration of Alkanes (or 4-Valent Trees), J. Integer Sequences, Vol. 2 (1999), Article 99.1.1.

Index entries for sequences related to rooted trees

Example

Triangle begins:
1;
1,1;
1,1,1,1,1,1,1,1;
...

Crossrefs

Sequence in context: A245808 A252797 A325333 * A309097 A309098 A136185

Adjacent sequences: A036605 A036606 A036607 * A036609 A036610 A036611

Keyword

nonn,tabf,easy

Author

N. J. A. Sloane.

Status

approved