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 A367032 #8 Nov 02 2023 10:39:58
%S A367032 1,1,1,-2,-17,-57,-72,386,3007,10239,9205,-111000,-761932,-2419388,
%T A367032 -810428,36696186,223335951,638716047,-268768549,-12961722498,
%U A367032 -70517888953,-176288334833,256285732480,4745735309240,23204309443908,48765510266948,-144850760459972
%N A367032 G.f. satisfies A(x) = 1 + x*A(x)^2 - x^2*A(x)^5.
%F A367032 a(n) = Sum_{k=0..floor(n/2)} (-1)^k * binomial(2*n+k,k) * binomial(2*n,n-2*k) / (n+2*k+1).
%o A367032 (PARI) a(n) = sum(k=0, n\2, (-1)^k*binomial(2*n+k, k)*binomial(2*n, n-2*k)/(n+2*k+1));
%Y A367032 Cf. A082582, A367031.
%Y A367032 Cf. A001764.
%K A367032 sign
%O A367032 0,4
%A A367032 _Seiichi Manyama_, Nov 02 2023