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%I M1311 #36 Mar 21 2022 05:17:26
%S 2,5,0,2,9,0,7,8,7,5,0,9,5,8,9,2,8,2,2,2,8,3,9,0,2,8,7,3,2,1,8,2,1,5,
%T 7,8,6,3,8,1,2,7,1,3,7,6,7,2,7,1,4,9,9,7,7,3,3,6,1,9,2,0,5,6,7,7,9,2,
%U 3,5,4,6,3,1,7,9,5,9,0,2,0,6,7,0,3,2,9,9,6,4,9,7,4,6,4,3,3,8,3,4,1,2,9,5,9
%N Decimal expansion of Feigenbaum reduction parameter.
%D S. R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, pp. 65-76
%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H Harry J. Smith, <a href="/A006891/b006891.txt">Table of n, a(n) for n = 1..1018</a>
%H K. Briggs, <a href="http://dx.doi.org/10.1090/S0025-5718-1991-1079009-6">A precise calculation of the Feigenbaum constants</a>, Math. Comp., 57 (1991), 435-439.
%H B. Derrida, A. Gervois and Y. Pomeau, <a href="http://dx.doi.org/10.1088/0305-4470/12/3/004">Universal metric properties of bifurcations</a>, J. Phys. A 12 (1979), 269-296.
%H R. J. Mathar, <a href="http://arxiv.org/abs/1008.4608">Chebyshev series representation of Feigenbaum's period-doubling function</a>, arXiv:1008.4608 [math.DS], 2010.
%H Simon Plouffe, <a href="http://www.worldwideschool.org/library/books/sci/math/MiscellaneousMathematicalConstants/chap33.html">Feigenbaum constants</a>
%H Simon Plouffe, Plouffe's Inverter, <a href="http://www.plouffe.fr/simon/constants/feigenbaum.txt">Feigenbaum constants to 1018 decimal places</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.
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/FeigenbaumConstant.html">Feigenbaum Constant</a>
%H Wikipedia, <a href="http://en.wikipedia.org/wiki/Feigenbaum_constants">Feigenbaum constants</a>.
%e 2.502907875095892822283902873218215786381271376727149977336192056779235...
%Y Cf. A006890 (Feigenbaum bifurcation velocity), A159767 (continued fraction).
%K cons,nonn,nice
%O 1,1
%A _N. J. A. Sloane_, _Colin Mallows_, _Jeffrey Shallit_
%E More terms from _Simon Plouffe_, Jan 06 2002
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