OFFSET
0,1
LINKS
Eric Weisstein's World of Mathematics, Power Tower
Eric Weisstein's World of Mathematics, Lambert W-Function
FORMULA
Equals 2*LambertW(log(3)/2)/log(3).
EXAMPLE
(1/sqrt(3))^(1/sqrt(3))^(1/sqrt(3))^(1/sqrt(3))^… = 0.686026724536251319713006846182…
MATHEMATICA
RealDigits[(2 ProductLog[Log[3]/2])/Log[3], 10, 120][[1]]
PROG
(PARI) t=log(3)/2; lambertw(t)/t \\ Charles R Greathouse IV, Apr 18 2016
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Ilya Gutkovskiy, Dec 21 2015
STATUS
approved