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EXAMPLE
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G.f.: A(x) = 1 + x/B(x); B(x) = 1 + x/C(x)^2; C(x) = 1 + x/D(x)^4;
D(x) = 1 + x/E(x)^8; E(x) = 1 + x/F(x)^16; ...
where the respective sequences begin:
B=[1,1,-2,11,-112,2025,-67324,4305909,-545113744,...];
C=[1,1,-4,42,-836,30259,-2041616,265712044,-68214603840,...];
D=[1,1,-8,164,-6456,467850,-63614840,16702037652,...];
E=[1,1,-16,648,-50736,7358500,-2008876560,1059405119352,...];
F=[1,1,-32,2576,-402272,116732040,-63860549280,...].
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