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 A343439 G.f.: 1 + 2^0*x/(1 + 2^1*x/(1 + 2^2*x/(1 + 2^3*x/(1 + 2^4*x/(1 + ...))))). 8
 1, 1, -2, 12, -136, 2736, -99616, 6810816, -900563072, 234247256832, -120883821425152, 124271556482829312, -255006726559759042560, 1045529090595650037657600, -8569159507007490469146992640, 140431398588497630920722150113280, -4602217897540461023955069241211781120 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Seiichi Manyama, Table of n, a(n) for n = 0..81 FORMULA G.f. satisfies: A(x) = 1 + x/A(2*x). G.f.: 1/(Sum_{k>=0} A015083(k) * (-x)^k). a(0) = a(1) = 1 and a(n) = -Sum_{k=1..n-1} 2^k*a(k)*a(n-k) for n > 1. a(n) = (-2)^(n-1) * A015083(n-1) for n > 0. PROG (PARI) a(n) = my(A=1+O(x)); for(i=1, n, A=1+2^(n-i)*x/A); polcoef(A, n); (PARI) a(n) = if(n<2, 1, -sum(k=1, n-1, 2^k*a(k)*a(n-k))); CROSSREFS Cf. A015083, A168491, A216966. Sequence in context: A205886 A108996 A117513 * A297078 A185522 A119819 Adjacent sequences: A343436 A343437 A343438 * A343440 A343441 A343442 KEYWORD sign AUTHOR Seiichi Manyama, Apr 15 2021 STATUS approved

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Last modified September 22 10:53 EDT 2023. Contains 365520 sequences. (Running on oeis4.)