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 A379283 #11 Dec 20 2024 02:43:58
%S A379283 1,4,42,612,10387,192312,3766316,76716624,1608691229,34495221722,
%T A379283 752911467734,16671973428486,373609441084507,8457057155407906,
%U A379283 193087102810266948,4441320670474030222,102821800799622552713,2394063264658388861914,56025225620739219372819
%N A379283 G.f. A(x) satisfies A(x) = 1/( (1 - x*A(x)^3) * (1 - x*A(x)) )^2.
%F A379283 G.f.: B(x)^2 where B(x) is the g.f. of A379287.
%F A379283 a(n) = 2 * Sum_{k=0..n} binomial(2*n+5*k+2,k) * binomial(3*n+3*k+1,n-k)/(2*n+5*k+2).
%o A379283 (PARI) a(n) = 2*sum(k=0, n, binomial(2*n+5*k+2, k)*binomial(3*n+3*k+1, n-k)/(2*n+5*k+2));
%Y A379283 Cf. A379244, A379252, A379280.
%Y A379283 Cf. A379281, A379282.
%Y A379283 Cf. A379189, A379287.
%K A379283 nonn
%O A379283 0,2
%A A379283 _Seiichi Manyama_, Dec 19 2024