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 A364195 #11 Jul 13 2023 08:36:47 %S A364195 1,2,24,412,8280,181904,4232048,102479184,2555884896,65207430848, %T A364195 1693785940992,44643489969792,1190986788639232,32097745138518528, %U A364195 872595854798515456,23900545715576753408,658934625866433496576,18271554709525993556992,509241947434834351042560 %N A364195 Expansion of g.f. A(x) satisfying A(x) = 1 + x * A(x)^5 * (1 + A(x)^2). %F A364195 a(n) = Sum_{k=0..n} binomial(n,k) * binomial(5*n+2*k+1,n)/(5*n+2*k+1). %o A364195 (PARI) a(n) = sum(k=0, n, binomial(n, k)*binomial(5*n+2*k+1, n)/(5*n+2*k+1)); %Y A364195 Cf. A217364, A363006, A363305, A364196. %Y A364195 Cf. A349310, A363304, A363311. %K A364195 nonn,easy %O A364195 0,2 %A A364195 _Seiichi Manyama_, Jul 13 2023