OFFSET
0,1
COMMENTS
Also the only solution of x*phi^x = 1.
LINKS
Stanislav Sykora, Table of n, a(n) for n = 0..1999
Wikipedia, Lambert W function
Wikipedia, Tetration
FORMULA
When 1/E^E <= c < 1, then c^c^c^... = LambertW(log(1/c))/log(1/c).
EXAMPLE
0.710439287156503188669345...
MATHEMATICA
RealDigits[ LambertW[ Log[ GoldenRatio]]/Log[ GoldenRatio], 10, 111][[1]] (* Robert G. Wilson v, Feb 11 2015 *)
PROG
(PARI) lambertw(log(phi))/log(phi)
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Stanislav Sykora, Nov 04 2013
STATUS
approved