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

Offset: 0

Author

Rick L. Shepherd, Jul 22 2002

Keywords

• cons
• nonn

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

Examples

			0.06598803584531253707679018759...
		

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.

Crossrefs

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

Programs

Magma

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

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 *)

PARI

exp(-1)^exp(1)