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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.

A370891 G.f. satisfies A(x) = ( 1 + x * A(x)^(1/4) * (1 + A(x)^(3/4)) )^2.

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%I A370891 #15 Apr 04 2024 15:40:07
%S A370891 1,4,14,52,205,844,3588,15632,69434,313264,1431650,6613732,30834548,
%T A370891 144895284,685566370,3263309844,15616322995,75085908112,362563417968,
%U A370891 1757412095456,8548129677400,41710100368160,204110896990686,1001480947876276,4925833177966164
%N A370891 G.f. satisfies A(x) = ( 1 + x * A(x)^(1/4) * (1 + A(x)^(3/4)) )^2.
%F A370891 G.f.: B(x)^4 where B(x) is the g.f. of A106228.
%F A370891 a(n) = 2 * Sum_{k=0..n} binomial(n,k) * binomial(n/2+3*k/2+2,n)/(n/2+3*k/2+2).
%o A370891 (PARI) a(n) = 2*sum(k=0, n, binomial(n, k)*binomial(n/2+3*k/2+2, n)/(n/2+3*k/2+2));
%Y A370891 Cf. A000292, A371723.
%Y A370891 Cf. A106228, A262441, A371724.
%K A370891 nonn
%O A370891 0,2
%A A370891 _Seiichi Manyama_, Apr 04 2024