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A036662
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Shapes of height-balanced AVL trees of height at most 5 with n nodes.
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3
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0, 1, 1, 2, 1, 4, 6, 4, 17, 32, 44, 60, 70, 184, 476, 872, 1553, 2720, 4288, 6312, 9004, 11992, 14372, 15400, 14630, 11968, 8104, 4376, 1820, 560, 120, 16, 1
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,4
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REFERENCES
| F. Bergeron, G. Labelle and P. Leroux, Combinatorial Species and Tree-Like Structures, Camb. 1998, p. 239, Eq 79, A_5.
R. C. Richards, Shape distribution of height-balanced trees, Info. Proc. Lett., 17 (1983), 17-20.
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LINKS
| Index entries for sequences related to rooted trees
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MAPLE
| a:= proc(n) local B, z; B:= proc (x, y, d) if d>=1 then x+B(x^2+2*x*y, x, d-1) else x fi end; coeff(B(z, 0, 5), z, n) end: seq (a(n), n=0..32); # Alois P. Heinz, Aug 27 2008
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CROSSREFS
| Cf. A006265.
Sequence in context: A193902 A043302 A143897 * A134306 A006265 A131452
Adjacent sequences: A036659 A036660 A036661 * A036663 A036664 A036665
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KEYWORD
| nonn,fini,full
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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