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 A366268 #18 Oct 16 2023 04:31:19 %S A366268 1,2,10,90,930,10530,126282,1576410,20268930,266591490,3569991370, %T A366268 48509238810,667157894050,9269347395490,129908752970890, %U A366268 1834347364277530,26071297610067970,372683901080814850,5354668071305293450,77286026066830771930 %N A366268 G.f. A(x) satisfies A(x) = 1 + x + x*A(x)^5. %F A366268 a(n) = Sum_{k=0..n} binomial(4*k+1,n-k) * binomial(5*k,k)/(4*k+1). %F A366268 a(n) = A366273(n) + A366273(n-1). %F A366268 G.f.: A(x) = 1/B(-x) where B(x) is the g.f. of A366366. %o A366268 (PARI) a(n) = sum(k=0, n, binomial(4*k+1, n-k)*binomial(5*k, k)/(4*k+1)); %Y A366268 Cf. A025227, A366266, A366267. %Y A366268 Cf. A366273, A366366. %K A366268 nonn %O A366268 0,2 %A A366268 _Seiichi Manyama_, Oct 06 2023