A036607 - OEIS

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A036607

Triangle of coefficients of generating function of 5-ary rooted trees of height at most n.

0

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 5, 7, 10, 12, 16, 19, 23, 25, 29, 30, 32, 32, 32, 30, 29, 25, 23, 19, 16, 12, 10, 7, 5, 3, 2, 1, 1, 1, 1, 1, 2, 4, 8, 15, 28, 50, 89, 155, 267, 451, 757, 1251, 2048, 3316, 5315, 8433, 13256, 20641, 31847, 48704, 73817

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OFFSET

0,14

LINKS

Table of n, a(n) for n=0..65.

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;

1,1,1,2,...

CROSSREFS

Sequence in context: A140690 A004684 A350102 * A211520 A248578 A062442

Adjacent sequences: A036604 A036605 A036606 * A036608 A036609 A036610

KEYWORD

nonn,tabf,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved