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A000299 Number of n-node rooted trees of height 4.
(Formerly M3461 N1408)
2
0, 0, 0, 0, 1, 4, 13, 36, 93, 225, 528, 1198, 2666, 5815, 12517, 26587, 55933, 116564, 241151, 495417, 1011950, 2055892, 4157514, 8371318, 16792066, 33564256, 66875221, 132849983, 263192599, 520087551, 1025295487, 2016745784, 3958608430, 7754810743 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,6

REFERENCES

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).

LINKS

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

FORMULA

A001384-A001383. - Christian G. Bower

MAPLE

For Maple program see link in A000235.

MATHEMATICA

f[n_] := Nest[CoefficientList[Series[Product[1/(1 - x^i)^#[[i]], {i, 1, Length[#]}], {x, 0, 40}], x] &, {1}, n]; f[4]-f[3] (* Geoffrey Critzer, Aug 01 2013 *)

CROSSREFS

Column h=4 of A034781.

Sequence in context: A235996 A036636 A036643 * A102301 A206603 A271176

Adjacent sequences:  A000296 A000297 A000298 * A000300 A000301 A000302

KEYWORD

nonn

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified May 27 07:41 EDT 2017. Contains 287198 sequences.