OFFSET
7,1
COMMENTS
A weak form of Schanuel's Conjecture implies that e^e^e is transcendental--see Marques and Sondow (2012).
LINKS
Harry J. Smith, Table of n, a(n) for n = 7..20000
D. Marques and J. Sondow, The Schanuel Subset Conjecture implies Gelfond's Power Tower Conjecture, arXiv:1212.6931 [math.NT], 2013.
EXAMPLE
3814279.10476022059220921959409...
MATHEMATICA
RealDigits[E^E^E, 10, 120][[1]] (* Harvey P. Dale, Dec 14 2011 *)
PROG
(PARI) exp(exp(exp(1)))
(PARI) { default(realprecision, 20080); x=exp(exp(exp(1)))/1000000; for (n=7, 20000, d=floor(x); x=(x-d)*10; write("b073227.txt", n, " ", d)); } \\ Harry J. Smith, Apr 30 2009
(Magma) Exp(Exp(Exp(1))); // G. C. Greubel, May 29 2018
CROSSREFS
KEYWORD
cons,nonn
AUTHOR
Rick L. Shepherd, Jul 22 2002
STATUS
approved