OFFSET
1,2
COMMENTS
Reversion of g.f. for A006958.
LINKS
N. J. A. Sloane, Transforms
Eric Weisstein's World of Mathematics, Series Reversion
FORMULA
G.f. A(x) satisfies: -1 + 1/(1 - A(x)/(1 - A(x)/(1 - A(x)^2/(1 - A(x)^2/(1 - A(x)^3/(1 - A(x)^3/(1 - ...))))))) = x.
a(n) ~ (-1)^(n+1) * c * d^n / n^(3/2), where d = 4.473956977950366804747779231113352537187229544... and c = 0.1202474525564857621186593278823505223773725... - Vaclav Kotesovec, May 07 2024
MATHEMATICA
Rest[CoefficientList[InverseSeries[Series[-1 + 1/(1 + ContinuedFractionK[-x^Floor[(i + 1)/2], 1, {i, 1, nmax}]), {x, 0, 28}], x], x]]
CROSSREFS
KEYWORD
sign
AUTHOR
Ilya Gutkovskiy, Aug 23 2017
STATUS
approved