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A000951
Number of forests with n nodes and height at most 4.
(Formerly M3026 N1226)
14
1, 3, 16, 125, 1296, 16087, 229384, 3687609, 66025360, 1303751051, 28151798544, 659841763957, 16681231615816, 452357366282655, 13095632549137576, 403040561722348913, 13138626717852194976, 452179922268565180819, 16381932383826669204640
OFFSET
1,2
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
John Riordan, Forests of labeled trees, J. Combin. Theory, 5 (1968), 90-103.
FORMULA
E.g.f.: exp(x*exp(x*exp(x*exp(x*exp(x))))).
MATHEMATICA
nn = 20; Range[0, nn]! CoefficientList[Series[Exp[x*Exp[x*Exp[x*Exp[x*Exp[x]]]]], {x, 0, nn}], x] (* T. D. Noe, Jun 21 2012 *)
CROSSREFS
Column k=4 of A210725. - Alois P. Heinz, Mar 15 2013
Sequence in context: A320254 A365627 A245012 * A000272 A246527 A159594
KEYWORD
nonn
EXTENSIONS
More terms from Vladeta Jovovic, Apr 07 2001
STATUS
approved