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

Author

R. J. Mathar, Sep 09 2011

Keywords

• nonn
• more
• cons

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.

Examples

			Equals 1.690302971405244853...
		

Links

• 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.

Crossrefs

Cf. A006891.