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 A329053 #9 Nov 05 2019 05:52:29 %S A329053 1,2,4,8,16,32,65,134,280,598,1300,2884,6516,15008,35147,83680,202139, %T A329053 494982,1226753,3074146,7779561,19863702,51125018,132541616,345867101, %U A329053 907922596,2396276355,6355845398,16934718359,45309972502,121697068925,328029259192 %N A329053 Number of bicolored acyclic graphs on n unlabeled nodes. %C A329053 The two color classes are not interchangeable. Adjacent nodes cannot have the same color. %H A329053 Andrew Howroyd, <a href="/A329053/b329053.txt">Table of n, a(n) for n = 0..500</a> %F A329053 Euler transform of A122086. %o A329053 (PARI) %o A329053 EulerT(v)={Vec(exp(x*Ser(dirmul(v,vector(#v,n,1/n))))-1, -#v)} %o A329053 TreeGf(N)={my(A=vector(N, j, 1)); for (n=1, N-1, A[n+1] = 1/n * sum(k=1, n, sumdiv(k, d, d*A[d]) * A[n-k+1] ) ); x*Ser(A)} %o A329053 seq(n)={concat([1], EulerT(Vec(2*TreeGf(n) - TreeGf(n)^2)))} %Y A329053 Antidiagonal sums of A329052. %Y A329053 Cf. A122086. %K A329053 nonn %O A329053 0,2 %A A329053 _Andrew Howroyd_, Nov 02 2019