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.

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

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

Table of n, a(n) for n=0..104.

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: A199395 A366163 A371945 * A100610 A101465 A010719

Adjacent sequences: A358627 A358628 A358629 * A358631 A358632 A358633

Keyword

nonn,cons

Author

Antoine Beaulieu, Nov 24 2022

Status

approved