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 A262253 #8 Sep 16 2015 12:22:20
%S A262253 0,1,3,9,29,90,285,886,2764,8543,26387,81091,248752,760687,2321950,
%T A262253 7072376
%N A262253 A weighted sum over the rooted trees of n nodes (A214568).
%C A262253 (More precise name desired.)
%H A262253 R. Harary, R. W. Robinson, <a href="http://dx.doi.org/10.1007/BF02579217">Isomorphic factorizations VIII: bisectable trees</a>, Combinatorica 4 (2) (1984) 169-179, function F(x).
%H A262253 <a href="/index/Ro#rooted">Index entries for sequences related to rooted trees</a>
%F A262253 a(n) = sum_{k>=1} binomial(k+1,2) A214568(n,k).
%F A262253 A007098(x) = A(x) -A(x^2) -A000081(x)*A(x) -{A000107(x)^2 - A000107(x^2)}/2 is the relation between the generating functions, eq. prior to (4.9) by Harary-Robinson.
%F A262253 A(x) = A000081(x)*{A(x)-A(x^2)+ A000107(x^2)/2} +{A000081(x)+A000107(x)+A000107(x)^2}/2 , eq. (4.6) by Harary-Robinson.
%Y A262253 Cf. A000107, A000081, A007098.
%K A262253 nonn,more
%O A262253 0,3
%A A262253 _R. J. Mathar_, Sep 16 2015