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 A339042 #15 Feb 26 2023 13:41:51 %S A339042 1,4,17,73,319,1423,6499,30374,145302,711177,3559690,18212192, %T A339042 95193547,508083746,2767835600,15382476029,87177582535,503610832756, %U A339042 2964300557548,17771210411578,108471258414870,673836620069035,4258727230198033,27373904651169023,178885471934461869 %N A339042 Number of unlabeled connected loopless multigraphs with n edges rooted at two noninterchangeable vertices. %F A339042 G.f.: f(x) - g(x)^2 where x*f(x) is the g.f. of A339037 and g(x) is the g.f. of A339036. %t A339042 seq[n_] := Module[{g}, g = G[2n, x+O[x]^n, {}]; G[2n, x+O[x]^n, {1, 1}]/g - (G[2n, x+O[x]^n, {1}]/g)^2 // CoefficientList[#, x]& // Rest]; %t A339042 seq[15] (* _Jean-François Alcover_, Dec 02 2020, using _Andrew Howroyd_'s code for G in A339065 *) %o A339042 (PARI) \\ See A339065 for G. %o A339042 seq(n)={my(A=O(x*x^n), g=G(2*n, x+A, [])); Vec(G(2*n, x+A, [1, 1])/g - (G(2*n, x+A, [1])/g)^2)} %Y A339042 Cf. A050535, A076864, A339036, A339037, A339038, A339040, A339043, A339065. %K A339042 nonn %O A339042 1,2 %A A339042 _Andrew Howroyd_, Nov 20 2020