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 A379435 #9 Jan 17 2025 02:33:40
%S A379435 1,0,1,2,10,52,281,1570,9022,53084,318634,1945396,12052532,75624616,
%T A379435 479814937,3074251682,19869323638,129420288076,848897059790,
%U A379435 5603350613308,37198680816844,248241480270680,1664546969372554,11210468046615412,75806810042727980,514537522249147672
%N A379435 Number of rooted planar maps with n edges and without faces or vertices of degree 1.
%F A379435 G.f.: 2*x + G(x/(1 + 2*x)^2)*(1 - 2*x)/(1 + 2*x) where G(x) is the g.f. of A000168.
%o A379435 (PARI) seq(n)={my(z=x/(1 + 2*x)^2, g=(-1 + 18*z + sqrt(1-12*z + O(x^(n+3)))^3) / (54*z^2)); Vec(2*x + g*(1-2*x)/(1+2*x))}
%Y A379435 Cf. A000168, A006396 (sensed), A006397 (unsensed), A379433.
%K A379435 nonn
%O A379435 0,4
%A A379435 _Andrew Howroyd_, Jan 14 2025