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

Author

Antoine Beaulieu, Nov 24 2022

Keywords

• nonn
• cons

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.

Examples

			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.