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 A372006 #12 Apr 19 2024 02:26:52
%S A372006 1,5,-20,100,0,-9625,169875,-1933125,14025625,0,-2065744375,
%T A372006 41575056250,-523670743750,4119815531250,0,-684944792812500,
%U A372006 14442398472421875,-189324209836328125,1541918426557031250,0,-271410262779871875000,5860693797318871093750
%N A372006 G.f. A(x) satisfies A(x) = ( 1 + 25*x*A(x)*(1 + x*A(x)) )^(1/5).
%F A372006 a(n) = (1/(n+1)) * Sum_{k=0..n} 25^k * binomial(n/5+1/5,k) * binomial(k,n-k).
%F A372006 a(5*n+4) = 0 for n >= 0.
%F A372006 a(n) = 25^n*binomial((n+1)/5, n)*hypergeom([(1-n)/2, -n/2], [(6-4*n)/5], 4/25)/(n+1). - _Stefano Spezia_, Apr 18 2024
%o A372006 (PARI) a(n) = sum(k=0, n, 25^k*binomial(n/5+1/5, k)*binomial(k, n-k))/(n+1);
%Y A372006 Cf. A372004, A372005.
%K A372006 sign
%O A372006 0,2
%A A372006 _Seiichi Manyama_, Apr 15 2024