A195102 Decimal expansion of the reduction parameter for the biquadratic solution of the Feigenbaum-Cvitanovic equation.

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

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