OFFSET
0,3
COMMENTS
This number is also the solution to 1 + 2^x = 4^x, or 1 + 1/2^x = 2^x, which clarifies the relation to Phi = (sqrt(5)+1)/2, solution to 1 + 1/x = x.
LINKS
Paolo Xausa, Table of n, a(n) for n = 0..10000
EXAMPLE
log_2((sqrt(5)+1)/2) = 0.6942419... = 0 + 1/(1 + 1/(2 + 1/(3 + 1/(1 + ...))))
MATHEMATICA
ContinuedFraction[Log2[GoldenRatio], 100] (* Paolo Xausa, Mar 07 2024 *)
PROG
(PARI) localprec(1000); contfrac(log(sqrt(5)+1)/log(2)-1)
CROSSREFS
KEYWORD
nonn,cofr
AUTHOR
M. F. Hasler, Oct 31 2019
EXTENSIONS
Some terms corrected by Paolo Xausa, Mar 07 2024
STATUS
approved