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 A339041 #12 Dec 02 2020 17:50:34 %S A339041 1,2,7,21,73,255,946,3618,14376,58957,249555,1087828,4878939,22488282, %T A339041 106432530,516783762,2572324160,13116137104,68461594211,365559412868, %U A339041 1995532789212,11129600885183,63381069498524,368338847181336,2183239817036378 %N A339041 Number of unlabeled connected simple graphs with n edges rooted at two indistinguishable vertices. %F A339041 G.f.: f(x)/g(x) - (r(x)^2 + r(x^2))/2 where f(x), g(x) and r(x) are the g.f.'s of A339064, A000664 and A339039. %o A339041 (PARI) \\ See A339063 for G. %o A339041 seq(n)={my(A=O(x*x^n), g=G(2*n, x+A, []), gr=G(2*n, x+A, [1])/g); Vec(G(2*n, x+A, [1, 1])/g - gr^2 + G(2*n, x+A, [2])/g - subst(gr, x, x^2))/2} %Y A339041 Cf. A000664, A002905, A303831, A303832, A339039, A339040, A339043, A339044, A339063, A339064. %K A339041 nonn %O A339041 1,2 %A A339041 _Andrew Howroyd_, Nov 20 2020