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 A195102 Decimal expansion of the reduction parameter for the biquadratic solution of the Feigenbaum-Cvitanovic equation. 0
 1, 6, 9, 0, 3, 0, 2, 9, 7, 1, 4, 0, 5, 2, 4, 4, 8, 5, 3, 3, 4, 3, 7, 8, 0, 1, 5, 0, 3, 2, 4, 1, 6, 1, 3, 4, 8, 2, 2, 8, 2, 7, 8, 0, 5, 9, 7, 0, 9 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS The expansion which starts quadratically 1+O(z^2) near the origin is in A006891. The constant here refers to the solution which starts 1+O(z^4) near z=0. LINKS Table of n, a(n) for n=1..49. K. M. Briggs, G. R. W. Quispel, C. J. Thompson, Feigenvalues for Mandelsets, J. Phys. A 24 (1991), 3363-3368. R. J. Mathar, Chebyshev series representation of Feigenbaum's period-doubling function, arXiv:1008.4608 [math.DS], 2010, Section 3.3. J. Thurlby, Rigorous calculations of renormalisation fixed points and attractors, PhD thesis, U. Portsmouth, (2021). Gives approx 330 digits on page 86. EXAMPLE Equals 1.690302971405244853... CROSSREFS Cf. A006891. Sequence in context: A196762 A078196 A198118 * A020792 A242760 A196607 Adjacent sequences: A195099 A195100 A195101 * A195103 A195104 A195105 KEYWORD nonn,more,cons AUTHOR R. J. Mathar, Sep 09 2011 STATUS approved

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Last modified June 10 13:03 EDT 2023. Contains 363205 sequences. (Running on oeis4.)