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 A366178 #9 Oct 03 2023 09:00:00 %S A366178 1,2,10,67,502,4045,34279,301232,2720266,25091431,235394601, %T A366178 2239139980,21546299491,209361514219,2051379996574,20245794958408, %U A366178 201079938971546,2008276118393320,20157131084034349,203215717750220949,2056913539436637829 %N A366178 G.f. A(x) satisfies A(x) = 1/(1 - x) + x*A(x)^3/(1 - x)^3. %F A366178 a(n) = Sum_{k=0..n} binomial(n+4*k,n-k) * binomial(3*k,k)/(2*k+1). %o A366178 (PARI) a(n) = sum(k=0, n, binomial(n+4*k, n-k)*binomial(3*k, k)/(2*k+1)); %Y A366178 Partial sums give A366179. %Y A366178 Cf. A199475, A346626, A366177. %K A366178 nonn %O A366178 0,2 %A A366178 _Seiichi Manyama_, Oct 03 2023