OFFSET
0,2
EXAMPLE
0.4895363211996... = 0 + 1/(2 + 1/(23 + 1/(2 + 1/(1 + 1/(1 + 1/(4 + 1/...))))))
MATHEMATICA
ContinuedFraction[x/.FindRoot[1+2^x==6^x, {x, .4}, WorkingPrecision->1000], 150] (* Harvey P. Dale, Oct 15 2022 *)
PROG
(PARI) contfrac(c=solve(x=0, 1, 1+2^x-6^x))[^-1] \\ discarding possibly incorrect last term. Use e.g. \p999 to get more terms. - M. F. Hasler, Oct 31 2019
CROSSREFS
KEYWORD
nonn,cofr
AUTHOR
M. F. Hasler, Nov 11 2019
STATUS
approved