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A358630 Decimal expansion of a seed to the logistic map with r=4 such that mapping the orbit to 0 and 1 gives the binary expansion of Pi.

%I A358630 #25 Jan 05 2023 19:13:21
%S A358630 5,8,5,7,3,0,6,7,1,3,7,8,8,3,4,9,4,7,9,6,7,2,4,6,9,6,7,6,3,2,5,5,5,2,
%T A358630 4,1,8,2,0,9,4,5,3,6,3,0,2,4,0,9,2,6,3,8,4,8,4,1,2,1,3,3,0,0,2,4,6,4,
%U A358630 2,3,5,7,2,2,0,1,8,1,7,6,2,7,2,9,2,0,9,9,7,3,8,2,0,5,5,4,7,6,1,9,2,6,0,9,1
%N A358630 Decimal expansion of a seed to the logistic map with r=4 such that mapping the orbit to 0 and 1 gives the binary expansion of Pi.
%C A358630 This constant, when fed as seed to the logistic map f(x) = 4*x(1-x), gives an orbit that maps to the binary expansion of Pi with 1 if x_i > 0.5 and 0 if x_i < 0.5.
%C A358630 This seed to 300 decimal digits is good to generate about 1000 binary digits of Pi.
%e A358630 x_0 = 0.585730... -> 1
%e A358630 x_1 = 0.970601... -> 1
%e A358630 x_2 = 0.114139... -> 0
%e A358630 x_3 = 0.404444... -> 0
%e A358630 x_4 = 0.963477... -> 1
%Y A358630 Cf. A004601.
%K A358630 nonn,cons
%O A358630 0,1
%A A358630 _Antoine Beaulieu_, Nov 24 2022