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 A342986 #10 Apr 03 2021 22:51:53 %S A342986 1,0,2,6,44,280,2100,16310,133652,1132992,9895672,88520520,808057712, %T A342986 7504219008,70730676392,675328163542,6521495669380,63612394972608, %U A342986 626076210568200,6211621325369992,62077602307372720,624488579671582880,6320044589443116720,64313288809475362888 %N A342986 Number of tree-rooted loopless planar maps with n edges and no isthmuses. %H A342986 Andrew Howroyd, <a href="/A342986/b342986.txt">Table of n, a(n) for n = 0..500</a> %F A342986 G.f.: A(x) satisfies A(x) = G(x*A(x)^2) where G(x) + 2*x is the g.f. of A004304. %o A342986 (PARI) \\ here J(n) gives A004304 as g.f. %o A342986 J(n)={my(g=(1-sqrt(1-4*x+O(x^3*x^n)))/(2*x), h=serconvol(g, (g-1)/x));sqrt(x/serreverse(x*h^2))} %o A342986 seq(n)={my(g=J(n)-2*x, p=O(1)); while(serprec(p, x)<=n, p = subst(g, x, x*p^2)); Vec(p)} %Y A342986 Row sums of A342985. %Y A342986 Cf. A004304, A342988. %K A342986 nonn %O A342986 0,3 %A A342986 _Andrew Howroyd_, Apr 03 2021