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 A379382 #12 Dec 22 2024 09:06:43
%S A379382 1,2,8,48,336,2560,20608,172416,1484288,13062144,116977664,1062600704,
%T A379382 9767067648,90673700864,848971661312,8007542571008,76014137180160,
%U A379382 725681289822208,6962697126019072,67105309925048320,649362348326256640,6306663216709632000
%N A379382 G.f. A(x) satisfies A(x) = sqrt( (1 + 2*x*A(x))/(1 - 2*x*A(x)^2) ).
%F A379382 a(n) = 2^n * Sum_{k=0..n} binomial(n/2+3*k/2-1/2,k) * binomial(n/2+k/2+1/2,n-k)/(n+k+1).
%F A379382 a(n) = 2^n * A106228(n).
%o A379382 (PARI) a(n) = 2^n*sum(k=0, n, binomial(n/2+3*k/2-1/2, k)*binomial(n/2+k/2+1/2, n-k)/(n+k+1));
%Y A379382 Cf. A138020, A379383.
%Y A379382 Cf. A151374, A379327, A379330.
%Y A379382 Cf. A106228.
%K A379382 nonn
%O A379382 0,2
%A A379382 _Seiichi Manyama_, Dec 22 2024