A073228 -id:A073228 - cp's OEIS frontend

A085667 Decimal expansion of e^e^e^e.

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

Offset: 1656521

N. J. A. Sloane, Jul 15 2003

			2.331504399007195462289689911012137666332017428963... * 10^1656520

J. Blanck, Exact real arithmetic systems: results of competition, pp. 389-393 of J. Blanck et al., eds., Computability and Complexity in Analysis (CCA 2000), Lect. Notes Computer Science, Springer-Verlag, 2001.
Hans Havermann, integer part of e^e^e^e (in blocks of 100 digits) = the first 1656521 terms
Hans Havermann, fractional part of e^e^e^e (in blocks of 100 digits) = an additional 1656521 terms

Cf. A073226, A073227, A073228, A181180, A073232, A202955.

RealDigits[Exp[Exp[Exp[Exp[1]]]],10,120][[1]] (* Harvey P. Dale, Sep 06 2012 *)

exp(exp(exp(exp(1)))) \\ Charles R Greathouse IV, Mar 25 2014

A073227 Decimal expansion of e^e^e.

Original entry on oeis.org

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

Rick L. Shepherd, Jul 22 2002

A weak form of Schanuel's Conjecture implies that e^e^e is transcendental--see Marques and Sondow (2012).

			3814279.10476022059220921959409...

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.

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

Exp(Exp(Exp(1))); // G. C. Greubel, May 29 2018

RealDigits[E^E^E,10,120][[1]] (* Harvey P. Dale, Dec 14 2011 *)

PARI
```
exp(exp(exp(1)))
```

{ 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

A073232 Decimal expansion of ((1/e)^(1/e))^(1/e).

Original entry on oeis.org

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

Offset: 0

Rick L. Shepherd, Jul 22 2002

			0.87342301849311664298903234866...

Cf. A001113 (e), A068985 (1/e), A072364 ((1/e)^(1/e)), A073231 ((1/e)^(1/e)^(1/e)), A073228 ((e^e)^e), A073227 (e^e^e).

RealDigits[((1/E)^(1/E))^(1/E),10,120][[1]]  (* Harvey P. Dale, Apr 21 2011 *)

PARI
```
exp(-exp(-2))
```

Equals e^(-e^(-2)).

A202949 Decimal expansion of (e^e)^(e^e), where e=exp(1).

Original entry on oeis.org

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

Offset: 18

M. F. Hasler, Dec 26 2011

			776486517915808457.38262707214480111269813738740893733361098023776562998338874696481792585472289...

Cf. A073226, A073227, A073228, A085667, A181180, A073232. - M. F. Hasler, Dec 26 2011

RealDigits[#^#&/@(E^E),10,120][[1]] (* Harvey P. Dale, Aug 31 2023 *)

default(realprecision,99); t=exp(1); t=t^t; t=t^t

A073226^A073226.

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A085667 Decimal expansion of e^e^e^e.

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A073227 Decimal expansion of e^e^e.

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A073232 Decimal expansion of ((1/e)^(1/e))^(1/e).

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A202949 Decimal expansion of (e^e)^(e^e), where e=exp(1).

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