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A019500
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Number of 6-ary search trees on n keys.
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2
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1, 1, 1, 1, 1, 1, 6, 21, 56, 126, 252, 492, 1062, 2667, 7252, 19509, 49824, 121019, 286974, 687384, 1702308, 4357383, 11322408, 29307458, 74897808, 189349041, 477491356, 1211349276, 3103673406, 8017385416, 20780391882, 53812468392, 138999941172, 358502419242
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,7
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REFERENCES
| J. A. Fill and R. P. Dobrow, The number of m-ary search trees on n keys, Combin. Probab. Comput. 6 (1997), 435-453.
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LINKS
| Index entries for sequences related to rooted trees
Alois P. Heinz, Table of n, a(n) for n = 0..700
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MAPLE
| A:= proc(n) option remember; if n=0 then 1 else convert (series (add (x^i, i=0..4)+ x^5*A(n-1)^6, x=0, n+1), polynom) fi end: a:= n-> coeff (A(n), x, n):
seq (a(n), n=0..40); # Alois P. Heinz, Aug 22 2008
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CROSSREFS
| Sequence in context: A140228 A006090 A192080 * A100356 A137361 A058484
Adjacent sequences: A019497 A019498 A019499 * A019501 A019502 A019503
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KEYWORD
| nonn
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AUTHOR
| James Fill (jimfill(AT)jhu.edu)
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EXTENSIONS
| More terms from Alois P. Heinz (heinz(AT)hs-heilbronn.de), Aug 22 2008
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