login

Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.

Decimal expansion of Feigenbaum's constant 0.399535...
0

%I #25 Nov 24 2024 02:48:14

%S 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,

%T 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,

%U 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

%N Decimal expansion of Feigenbaum's constant 0.399535...

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

%H M. Campanino, H. Epstein, and D. Ruelle, <a href="https://core.ac.uk/download/pdf/82699556.pdf">On Feigenbaum's functional equation g o g (lambda x) + lambda g(x) = 0</a>, Topology, Vol. 21, No. 2 (1982), pp. 125-129.

%H Artem Dudko and Scott Sutherland, <a href="https://doi.org/10.1007/s00222-020-00949-8">On the Lebesgue measure of the Feigenbaum Julia set</a>, Inventiones mathematicae, Vol. 221 (2020), pp. 167-202.

%H Mitchell J. Feigenbaum, <a href="https://doi.org/10.1007/BF01020332">Quantitative universality for a class of nonlinear transformations</a>, J. Statist. Phys., Vol. 19, No. 1 (1978), pp. 25-52; <a href="http://neweb.fis.unical.it/files/fl178/2835feigenbaum1.pdf">alternative link</a>; <a href="https://web.archive.org/web/20160413222939/https://signallake.com/innovation/feigenbaum103177.pdf">Wayback Machine copy</a>.

%H Mitchell J. Feigenbaum, <a href="https://doi.org/10.1007/BF01107909">The universal metric properties of nonlinear transformations</a>, J. Statist. Phys., Vol. 21, No. 6 (1979), pp. 669-706; <a href="https://citeseerx.ist.psu.edu/pdf/3027e9a922263c308227e2d9efaef2a16d0fbdb5">CiteSeerX</a>; <a href="https://web.archive.org/web/20200706092310/http://signallake.com/innovation/feigenbaum052979.pdf">Wayback Machine copy</a>.

%H J. Thurlby, <a href="https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.840285">Rigorous calculations of renormalisation fixed points and attractors</a>, PhD thesis, U. Portsmouth, (2021). 400 digits in section 3.8.

%F Equals 1/A006891. - _Stefano Spezia_, Nov 23 2024

%e 0.3995352805231344898575...

%Y Cf. A006890, A006891, A119277, etc.

%K nonn,cons

%O 0,1

%A _N. J. A. Sloane_, Mar 18 2019

%E More terms from Dudko and Sutherland (2020) added by _Amiram Eldar_, May 15 2021

%E a(22)-a(99) from _Stefano Spezia_, Nov 23 2024