A073232 -id:A073232 - 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

A073228 Decimal expansion of (e^e)^e.

Original entry on oeis.org

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

Offset: 4

Rick L. Shepherd, Jul 22 2002

			1618.17799191265350166869122548...

G. C. Greubel, Table of n, a(n) for n = 4..10000

Cf. A001113 (e), A073226 (e^e), A073227 (e^e^e), A073231 ((1/e)^(1/e)^(1/e)), A073232 (((1/e)^(1/e))^(1/e)).

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

RealDigits[(E^E)^E, 10, 120][[1]] (* Alonso del Arte, Jul 03 2012 *)

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

(e^e)^e = e^e^2. - Franklin T. Adams-Watters, Jun 20 2014

A073231 Decimal expansion of (1/e)^(1/e)^(1/e).

Original entry on oeis.org

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

Offset: 0

Rick L. Shepherd, Jul 22 2002

			0.50047350056363684054513490133...

Cf. A001113 (e), A068985 (1/e), A072364 ((1/e)^(1/e)), A030178 (limit of (1/e)^(1/e)^...^(1/e)), A073232 (((1/e)^(1/e))^(1/e)), A073227 (e^e^e).

With[{c=1/E},RealDigits[c^c^c,10,120][[1]]] (* Harvey P. Dale, Jul 16 2025 *)

PARI
```
exp(-1)^exp(-1)^exp(-1)
```

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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A073228 Decimal expansion of (e^e)^e.

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A073231 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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