OFFSET
0,4
COMMENTS
This number is also the solution to 1 + 1.5^x = 2^x or 1/(1 - 2^-x) = 1 + 2^-x + 3^-x, see A328900.
EXAMPLE
A328900 = 1.50712659... = 1 + 1/(1 + 1/(1 + 1/(34 + 1/(1 + 1/(1 + 1/(2 + ...))))))
MATHEMATICA
ContinuedFraction[ x /. FindRoot[2^x + 3^x == 4^x, {x, 1.5}, WorkingPrecision -> 100]] (* Robert G. Wilson v, Nov 12 2019 *)
PROG
(PARI) contfrac(solve(s=1, 2, 1+1.5^s-2^s)) \\ Use e.g. \p999 to get more terms.
CROSSREFS
KEYWORD
nonn,cofr
AUTHOR
M. F. Hasler, Oct 31 2019
STATUS
approved