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 A371539 #10 Mar 27 2024 08:53:23
%S A371539 1,4,26,224,2171,22600,246754,2787856,32318849,382266056,4594893684,
%T A371539 55966343520,689245218880,8568130064280,107371481352870,
%U A371539 1354944741505580,17203182641794020,219604431213873060,2816826935574781930,36286757255072528360,469266638574298431490
%N A371539 G.f. A(x) satisfies A(x) = (1 + x*A(x)^(3/2) / (1+x))^4.
%F A371539 a(n) = 4 * Sum_{k=0..n} (-1)^(n-k) * binomial(n-1,n-k) * binomial(6*k+4,k)/(6*k+4).
%F A371539 G.f.: A(x) = B(x)^4 where B(x) is the g.f. of A349362.
%o A371539 (PARI) a(n) = 4*sum(k=0, n, (-1)^(n-k)*binomial(n-1, n-k)*binomial(6*k+4, k)/(6*k+4));
%Y A371539 Cf. A349362, A371537, A371538, A371540, A371541.
%Y A371539 Cf. A371379.
%K A371539 nonn
%O A371539 0,2
%A A371539 _Seiichi Manyama_, Mar 26 2024