cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A000393 Number of n-node rooted trees of height 6.

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%I A000393 M4170 N1736 #29 Jul 08 2017 01:25:12
%S A000393 0,0,0,0,0,0,1,6,26,94,308,941,2744,7722,21166,56809,149971,390517,
%T A000393 1005491,2564164,6485901,16289602,40659669,100934017,249343899,
%U A000393 613286048,1502515487,3667953650,8925161513,21652815724,52387028291
%N A000393 Number of n-node rooted trees of height 6.
%D A000393 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
%D A000393 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H A000393 N. J. A. Sloane, <a href="/A000393/b000393.txt">Table of n, a(n) for n=1..200</a>
%H A000393 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 A000393 <a href="/index/Ro#rooted">Index entries for sequences related to rooted trees</a>
%H A000393 <a href="/index/Tra#trees">Index entries for sequences related to trees</a>
%F A000393 A034823-A001385. - _Christian G. Bower_
%p A000393 For Maple program see link in A000235.
%t A000393 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 A000393 Column h=6 of A034781.
%K A000393 nonn
%O A000393 1,8
%A A000393 _N. J. A. Sloane_