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 A380466 #24 Jun 23 2025 10:12:51 %S A380466 1,5,150,6250,301875,15868125,881237500,50865750000,3021240234375, %T A380466 183454158593750,11336659803906250,710625236343750000, %U A380466 45075347315400390625,2887845039367675781250,186601230428607421875000,12146710229056792968750000,795792421294273872070312500 %N A380466 G.f. A(x) satisfies A(x) = 1/( 1 - 25*x*A(x)^3 )^(1/5). %F A380466 G.f. A(x) satisfies A(x) = ( 1 + 25*x*A(x)^8 )^(1/5). %F A380466 a(n) = 25^n * binomial(8*n/5+1/5,n)/(8*n+1). %F A380466 G.f. A(x) satisfies A(x) = 1/A(-x*A(x)^11). %F A380466 G.f.: ( (1/x) * Series_Reversion(x/(1+25*x)^(8/5)) )^(1/8). %o A380466 (PARI) a(n) = 25^n*binomial(8*n/5+1/5, n)/(8*n+1); %Y A380466 Cf. A034688, A078534, A385203, A385204, A385205, A380465, A380471. %K A380466 nonn %O A380466 0,2 %A A380466 _Seiichi Manyama_, Jun 23 2025