OFFSET
0,1
COMMENTS
This infinite tetration limit of (e/Pi)^^n is also the only solution of x*(Pi/e)^x = 1.
LINKS
Stanislav Sykora, Table of n, a(n) for n = 0..2000
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
0.88036777898173462182674985...
MATHEMATICA
RealDigits[ProductLog[Log[Pi] - 1]/(Log[Pi] - 1), 10, 120][[1]] (* Amiram Eldar, May 17 2023 *)
PROG
(PARI) lambertw(log(Pi)-1)/(log(Pi)-1)
CROSSREFS
KEYWORD
AUTHOR
Stanislav Sykora, Nov 06 2013
STATUS
approved