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
Examples
0.3995352805231344898575...
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
- 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
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