A306963 Decimal expansion of Feigenbaum's constant 0.399535...

3, 9, 9, 5, 3, 5, 2, 8, 0, 5, 2, 3, 1, 3, 4, 4, 8, 9, 8, 5, 7, 5, 8, 0, 4, 6, 8, 6, 3, 3, 6, 9, 3, 7, 1, 9, 4, 3, 3, 5, 4, 4, 2, 8, 0, 4, 6, 6, 9, 5, 2, 7, 2, 7, 5, 1, 7, 0, 7, 3, 0, 4, 4, 9, 1, 2, 4, 3, 8, 0, 1, 6, 6, 0, 8, 8, 3, 8, 0, 4, 2, 9, 8, 1, 8, 4, 4, 5, 9, 4, 8, 7, 4, 1, 8, 1, 2, 6, 6, 8

Offset

0,1

References

Steven R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, 2003, Section 1.9, pp. 66-67.

Links

Table of n, a(n) for n=0..99.

M. Campanino, H. Epstein, and D. Ruelle, On Feigenbaum's functional equation g o g (lambda x) + lambda g(x) = 0, Topology, Vol. 21, No. 2 (1982), pp. 125-129.

Artem Dudko and Scott Sutherland, On the Lebesgue measure of the Feigenbaum Julia set, Inventiones mathematicae, Vol. 221 (2020), pp. 167-202.

Mitchell J. Feigenbaum, Quantitative universality for a class of nonlinear transformations, J. Statist. Phys., Vol. 19, No. 1 (1978), pp. 25-52; alternative link; Wayback Machine copy.

Mitchell J. Feigenbaum, The universal metric properties of nonlinear transformations, J. Statist. Phys., Vol. 21, No. 6 (1979), pp. 669-706; CiteSeerX; Wayback Machine copy.

J. Thurlby, Rigorous calculations of renormalisation fixed points and attractors, PhD thesis, U. Portsmouth, (2021). 400 digits in section 3.8.

Formula

Equals 1/A006891. - Stefano Spezia, Nov 23 2024

Example

0.3995352805231344898575...

Crossrefs

Cf. A006890, A006891, A119277, etc.

Sequence in context: A243350 A091559 A268107 * A084762 A188444 A372914

Adjacent sequences: A306960 A306961 A306962 * A306964 A306965 A306966

Keyword

nonn,cons

Author

N. J. A. Sloane, Mar 18 2019

Extensions

More terms from Dudko and Sutherland (2020) added by Amiram Eldar, May 15 2021

a(22)-a(99) from Stefano Spezia, Nov 23 2024

Status

approved