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A000393 Number of n-node rooted trees of height 6.
(Formerly M4170 N1736)
2

%I M4170 N1736

%S 0,0,0,0,0,0,1,6,26,94,308,941,2744,7722,21166,56809,149971,390517,

%T 1005491,2564164,6485901,16289602,40659669,100934017,249343899,

%U 613286048,1502515487,3667953650,8925161513,21652815724,52387028291

%N Number of n-node rooted trees of height 6.

%D N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

%H N. J. A. Sloane, <a href="/A000393/b000393.txt">Table of n, a(n) for n=1..200</a>

%H J. Riordan, <a href="http://dx.doi.org/10.1147/rd.45.0473">Enumeration of trees by height and diameter</a>, IBM J. Res. Dev. 4 (1960), 473-478.

%H <a href="/index/Ro#rooted">Index entries for sequences related to rooted trees</a>

%H <a href="/index/Tra#trees">Index entries for sequences related to trees</a>

%F A034823-A001385. - _Christian G. Bower_

%p For Maple program see link in A000235.

%t 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 *)

%Y Column h=6 of A034781.

%K nonn

%O 1,8

%A _N. J. A. Sloane_

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Last modified March 23 02:49 EDT 2019. Contains 321422 sequences. (Running on oeis4.)