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 A379194 #7 Dec 18 2024 09:28:15
%S A379194 1,3,19,174,1883,22323,280409,3666736,49386326,680431419,9544684113,
%T A379194 135852904486,1957119390279,28482417043498,418119577938769,
%U A379194 6184065626127498,92062362629472668,1378427894172778961,20744229318047760620,313606289763390553200,4760422971894347226659
%N A379194 G.f. A(x) satisfies A(x) = (1 + x*A(x))^2/(1 - x*A(x)^3).
%F A379194 a(n) = Sum_{k=0..n} binomial(n+3*k+1,k) * binomial(2*n+4*k+2,n-k)/(n+3*k+1).
%o A379194 (PARI) a(n) = sum(k=0, n, binomial(n+3*k+1, k)*binomial(2*n+4*k+2, n-k)/(n+3*k+1));
%Y A379194 Cf. A349310, A379191.
%Y A379194 Cf. A379193.
%K A379194 nonn
%O A379194 0,2
%A A379194 _Seiichi Manyama_, Dec 17 2024