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A137983
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G.f.: A(x) = 1/(1 - x*A_0(x)) where A_0(x) = 1/(1 - 2x*A_1(x)^(1/2)) such that A_{n-1}(x) = 1/(1 - 2^n*x*[A_{n}(x)]^(1/2^n)) for n>=1 with A_0(x) equal to the g.f. of A137984.
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0
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1, 1, 3, 13, 71, 469, 3723, 36005, 436547, 6899269, 148118063, 4468393661, 193343082863, 12098043923845, 1095808155971903, 143385496616202557, 27027137980334917335, 7318231233568088061141, 2839533242388092176367563
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