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 A364409 #18 Oct 07 2023 07:10:04
%S A364409 1,2,-10,110,-1430,20570,-315282,5047350,-83406510,1411954610,
%T A364409 -24360750810,426796726334,-7572551327430,135790011411850,
%U A364409 -2457028916693090,44804882306441990,-822573909558939998,15191515999168557410,-282038057756813698730
%N A364409 G.f. satisfies A(x) = 1 + x*(1 + 1/A(x)^5).
%H A364409 Seiichi Manyama, <a href="/A364409/b364409.txt">Table of n, a(n) for n = 0..769</a>
%F A364409 G.f.: A(x) = 1/B(-x) where B(x) is the g.f. of A349312.
%F A364409 a(n) = (-1)^(n-1) * (1/n) * Sum_{k=0..n} binomial(n,k) * binomial(n+5*k-2,n-1) for n > 0.
%o A364409 (PARI) a(n) = if(n==0, 1, (-1)^(n-1)*sum(k=0, n, binomial(n, k)*binomial(n+5*k-2, n-1))/n);
%Y A364409 Cf. A112478, A364393, A364407, A364408, A366266, A366267, A366268.
%Y A364409 Cf. A349312.
%K A364409 sign
%O A364409 0,2
%A A364409 _Seiichi Manyama_, Jul 23 2023