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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.

A218032 G.f. A(x) satisfies A(x) = 1 + x / (1 - x * A(x^2)).

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%I A218032 #17 Nov 26 2023 08:37:50
%S A218032 1,1,1,1,2,3,5,8,13,21,35,57,94,154,254,417,687,1129,1859,3057,5032,
%T A218032 8277,13623,22412,36883,60684,99862,164312,270384,444899,732093,
%U A218032 1204629,1982228,3261701,5367131,8831505,14532200,23912499,39347839,64746320,106539481,175309363,288469809
%N A218032 G.f. A(x) satisfies A(x) = 1 + x / (1 - x * A(x^2)).
%C A218032 What does this sequence count?
%H A218032 Seiichi Manyama, <a href="/A218032/b218032.txt">Table of n, a(n) for n = 0..1000</a>
%o A218032 (PARI)
%o A218032 N=66;  R=O('x^N);  x='x+R;
%o A218032 F = 1 + x;
%o A218032 for (k=1,N+1, F = 1 + x / (1 - x * subst(F,'x,'x^2) ) + R; );
%o A218032 Vec(F)
%Y A218032 Cf. A319436, A349365.
%K A218032 nonn
%O A218032 0,5
%A A218032 _Joerg Arndt_, Oct 19 2012