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.
%I A038090 #23 Dec 19 2015 10:01:08
%S A038090 1,5,14,33,72,149,301,599,1170,2254,4288,8081,15087,27971,51500,94293,
%T A038090 171724,311328,562023,1010819,1811676,3236959,5766793,10246734,
%U A038090 18162241,32119542,56682671,99833464,175509158,308014335,539675744,944115593,1649236884
%N A038090 Number of n-node rooted identity trees of height 6.
%C A038090 The number of terms with a(n)>0 is A038093(6) - 6. - _Alois P. Heinz_, Sep 22 2013
%H A038090 Alois P. Heinz, <a href="/A038090/b038090.txt">Table of n, a(n) for n = 7..1000</a>
%H A038090 <a href="/index/Ro#rooted">Index entries for sequences related to rooted trees</a>
%F A038090 A038085 - A038084.
%p A038090 weigh:= proc(p) proc(n) local x, k; coeff(series(mul((1+x^k)^p(k), k=1..n), x,n+1), x,n) end end: wsh:= p-> n-> weigh(p)(n-1): f:= n-> `if`(n>0 and n<12, [1$3, 2$5, 1$3][n], 0): a:= (wsh@@3)(f)-(wsh@@2)(f): seq(a(n), n=7..37); # _Alois P. Heinz_, Sep 10 2008
%t A038090 f[n_]:=Nest[CoefficientList[Series[Product[(1+x^i)^#[[i]],{i,1,Length[#]}],{x,0,50}],x]&,{1},n];Drop[f[6]-PadRight[f[5],Length[f[6]]],6] (* _Geoffrey Critzer_, Aug 01 2013 *)
%Y A038090 Cf. A038081-A038093.
%Y A038090 Column k=6 of A227819.
%K A038090 nonn,fini
%O A038090 7,2
%A A038090 _Christian G. Bower_, Jan 04 1999