A073230 - OEIS

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A073230

Decimal expansion of (1/e)^e.

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

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OFFSET

0,2

COMMENTS

(1/e)^e = e^(-e) = 1/(e^e) (reciprocal of A073226).

The power tower function f(x)=x^(x^(x^...)) is defined on the closed interval [e^(-e),e^(1/e)]. - Lekraj Beedassy, Mar 17 2005

REFERENCES

Paul Halmos, "Problems for Mathematicians, Young and Old", Dolciani Mathematical Expositions, 1991, Solution to problem 8A (Power Tower) p. 240.

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..10000

J. Sondow and D. Marques, Algebraic and transcendental solutions of some exponential equations, Annales Mathematicae et Informaticae 37 (2010) 151-164; see the Appendix.

EXAMPLE

0.06598803584531253707679018759...

MATHEMATICA

a=IntegerDigits[IntegerPart[(1/E)^E*10^99]]; PrependTo[a, 0] (* Vladimir Joseph Stephan Orlovsky, Jul 17 2008 *)

RealDigits[(1/E)^E, 10, 100][[1]] (* Alonso del Arte, Aug 26 2011 *)

PROG

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

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

CROSSREFS

Cf. A001113 (e), A068985 (1/e), A073229 (e^(1/e)), A072364 ((1/e)^(1/e)), A073226 (e^e).

Sequence in context: A242761 A200477 A269768 * A134881 A229983 A251859

Adjacent sequences: A073227 A073228 A073229 * A073231 A073232 A073233

KEYWORD

cons,nonn

AUTHOR

Rick L. Shepherd, Jul 22 2002

STATUS

approved