Nested Structure of the Continued Fraction of Liouville's Constant
Nested Structure of the Continued Fraction of Liouville's Constant
The Liouville constant is the transcendental number defined by . Computing its continued fraction expansion in this semilog plot of the number of digits reveals the presence of sporadic large terms and a nested structure.
∞
∑
n=1
1
n!
10
d(n)