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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. 0
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, 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, 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 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET
0,1
COMMENTS
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.
This seed to 300 decimal digits is good to generate about 1000 binary digits of Pi.
LINKS
EXAMPLE
x_0 = 0.585730... -> 1
x_1 = 0.970601... -> 1
x_2 = 0.114139... -> 0
x_3 = 0.404444... -> 0
x_4 = 0.963477... -> 1
CROSSREFS
Cf. A004601.
Sequence in context: A178331 A199395 A366163 * A100610 A101465 A010719
KEYWORD
nonn,cons
AUTHOR
Antoine Beaulieu, Nov 24 2022
STATUS
approved

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Last modified February 23 11:40 EST 2024. Contains 370283 sequences. (Running on oeis4.)