A079271 a(n) = 4 * a(n-1) * (3^(2^(n-1))-a(n-1)) with a(0)=1.

1, 8, 32, 6272, 7250432, 1038154236987392, 3383826162019367796397224108032, 674838593766753484487654913831820720085359667709963001167872

Offset: 0

Author

Henry Bottomley, Feb 06 2003

Keywords

• frac
• nonn

Comments

a(n) is the numerator of b(n)=a(n)/3^(2^n)=a(n)/A011764(n) which is a logistic chaotic sequence of reals in (0,1) with b(n)=4*b(n-1)*(1-b(n-1)) starting at b(0)=1/3; the truncated values of b(n) start: 0.333..., 0.888..., 0.395..., 0.955..., 0.168..., 0.560..., 0.985..., 0.057..., 0.215..., etc.