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 A379433 #12 Jan 17 2025 02:33:22
%S A379433 1,1,3,16,96,624,4304,31056,232128,1784752,14043312,112648848,
%T A379433 918456608,7593649392,63546379152,537427956688,4587713701248,
%U A379433 39488179213872,342414691125104,2989022121125136,26249475365186016,231786459869636464,2056950693208881744
%N A379433 Number of rooted planar maps with n edges and without faces of degree 1.
%F A379433 G.f.: x + G(x/(1 + x)^2)*(1 - x)/(1 + x) where G(x) is the g.f. of A000168.
%o A379433 (PARI) seq(n)={my(z=x/(1 + x)^2, g=(-1 + 18*z + sqrt(1-12*z + O(x^(n+3)))^3) / (54*z^2)); Vec(x + g*(1-x)/(1+x))}
%Y A379433 Cf. A000168, A006388 (sensed), A006389 (unsensed), A379434, A379435.
%K A379433 nonn
%O A379433 0,3
%A A379433 _Andrew Howroyd_, Jan 14 2025