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 A319122 #6 Sep 12 2018 15:10:28 %S A319122 1,3,25,387,8521,241683,8383705,343826787,16273985641,873119718963, %T A319122 52360707915385,3470858539699587,252000934472119561, %U A319122 19888355652445884243,1695252683833578455065,155208762048402360698787,15190477481877333732410281,1582657042668691276257233523 %N A319122 Number of phylogenetic plane trees on n labels. %C A319122 A phylogenetic plane tree on n labels is either the set of labels itself or a finite sequence of at least two phylogenetic plane trees, one on each block of an ordered set partition of the labels. %e A319122 The a(2) = 3 phylogenetic plane trees are {1,2}, ({1},{2}), ({2},{1}). %t A319122 sps[{}]:={{}};sps[set:{i_,___}]:=Join@@Function[s,Prepend[#,s]&/@sps[Complement[set,s]]]/@Cases[Subsets[set],{i,___}]; %t A319122 t[n_]:=t[n]=1+Sum[Times@@t/@f,{f,Join@@Permutations/@Select[sps[Range[n]],Length[#]>1&]}]; %t A319122 Array[t,8] %Y A319122 Cf. A000108, A000670, A001003, A005804, A074206, A118376, A277130, A281118, A281119, A319137. %K A319122 nonn %O A319122 1,2 %A A319122 _Gus Wiseman_, Sep 11 2018