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A000393
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Number of n-node rooted trees of height 6.
(Formerly M4170 N1736)
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2
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0, 0, 0, 0, 0, 0, 1, 6, 26, 94, 308, 941, 2744, 7722, 21166, 56809, 149971, 390517, 1005491, 2564164, 6485901, 16289602, 40659669, 100934017, 249343899, 613286048, 1502515487, 3667953650, 8925161513, 21652815724, 52387028291
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,8
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REFERENCES
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N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
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N. J. A. Sloane, Table of n, a(n) for n=1..200
J. Riordan, Enumeration of trees by height and diameter, IBM J. Res. Dev. 4 (1960), 473-478.
Index entries for sequences related to rooted trees
Index entries for sequences related to trees
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FORMULA
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A034823-A001385. - Christian G. Bower
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MAPLE
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For Maple program see link in A000235.
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MATHEMATICA
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f[n_] := Nest[CoefficientList[Series[Product[1/(1 - x^i)^#[[i]], {i, 1, Length[#]}], {x, 0, 40}], x] &, {1}, n]; f[6]-f[5] (* Geoffrey Critzer, Aug 01 2013 *)
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CROSSREFS
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Column h=6 of A034781.
Sequence in context: A224288 A036638 A036645 * A106392 A143132 A055589
Adjacent sequences: A000390 A000391 A000392 * A000394 A000395 A000396
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane
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STATUS
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approved
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