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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.

A367043 G.f. satisfies A(x) = 1 + x^3 + x*A(x)^4.

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%I A367043 #12 Nov 03 2023 11:20:24
%S A367043 1,1,4,23,144,997,7304,55646,436320,3497846,28538852,236203518,
%T A367043 1978290648,16735471979,142789868112,1227339581084,10617748941840,
%U A367043 92377468226466,807769888050640,7095187345173620,62574408414192220,553881698543850337
%N A367043 G.f. satisfies A(x) = 1 + x^3 + x*A(x)^4.
%F A367043 a(n) = Sum_{k=0..floor(n/3)} binomial(3*(n-3*k)+1,k) * binomial(4*(n-3*k),n-3*k)/(3*(n-3*k)+1).
%o A367043 (PARI) a(n) = sum(k=0, n\3, binomial(3*(n-3*k)+1, k)*binomial(4*(n-3*k), n-3*k)/(3*(n-3*k)+1));
%Y A367043 Cf. A366676, A367042.
%K A367043 nonn
%O A367043 0,3
%A A367043 _Seiichi Manyama_, Nov 03 2023