A073227 Decimal expansion of e^e^e.

3, 8, 1, 4, 2, 7, 9, 1, 0, 4, 7, 6, 0, 2, 2, 0, 5, 9, 2, 2, 0, 9, 2, 1, 9, 5, 9, 4, 0, 9, 8, 2, 0, 3, 5, 7, 1, 0, 2, 3, 9, 4, 0, 5, 3, 6, 2, 2, 6, 6, 6, 6, 0, 7, 5, 5, 2, 6, 7, 0, 4, 1, 2, 5, 8, 0, 4, 7, 6, 8, 8, 9, 6, 7, 1, 2, 5, 9, 9, 6, 6, 1, 0, 0, 1, 0, 7, 8, 4, 9, 1, 0, 9, 2, 0, 6, 5, 7, 8, 9, 6, 0, 2, 1, 0

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

Cf. A001113 (e), A073226 (e^e), A004002 (e^e^...^e, n times, rounded), A073228 ((e^e)^e), A073231 ((1/e)^(1/e)^(1/e)).

Sequence in context: A021728 A242710 A084185 * A016550 A238169 A341414

Adjacent sequences: A073224 A073225 A073226 * A073228 A073229 A073230

Keyword

cons,nonn

Author

Rick L. Shepherd, Jul 22 2002

Status

approved