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 A367114 #9 Nov 05 2023 09:01:00
%S A367114 1,2,4,8,17,42,124,408,1380,4616,15184,49568,162518,539580,1818184,
%T A367114 6203088,21339916,73776024,255853744,889678688,3102779785,10856555130,
%U A367114 38115293308,134243564056,474159194316,1678926445272,5957812156144,21183679310048
%N A367114 G.f. satisfies A(x) = 1 + 2*x*A(x) + x^4*A(x)^4.
%F A367114 a(n) = Sum_{k=0..floor(n/4)} 2^(n-4*k) * binomial(n,4*k) * A002293(k).
%o A367114 (PARI) a(n) = sum(k=0, n\4, 2^(n-4*k)*binomial(n, 4*k)*binomial(4*k, k)/(3*k+1));
%Y A367114 Cf. A002293, A127902, A190590, A367115.
%K A367114 nonn,easy
%O A367114 0,2
%A A367114 _Seiichi Manyama_, Nov 05 2023