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A030798 Decimal expansion of the solution to x^x = 2. 18
1, 5, 5, 9, 6, 1, 0, 4, 6, 9, 4, 6, 2, 3, 6, 9, 3, 4, 9, 9, 7, 0, 3, 8, 8, 7, 6, 8, 7, 6, 5, 0, 0, 2, 9, 9, 3, 2, 8, 4, 8, 8, 3, 5, 1, 1, 8, 4, 3, 0, 9, 1, 4, 2, 4, 7, 1, 9, 5, 9, 4, 5, 6, 9, 4, 1, 3, 9, 7, 3, 0, 3, 4, 5, 4, 9, 5, 9, 0, 5, 8, 7, 1, 0, 5, 4, 1, 3, 4, 4, 4, 6, 9, 1, 2, 8, 3, 9, 7, 3, 6 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

The constant 1.559610469462... is transcendental. - Nick Hobson, Nov 29 2006

LINKS

Table of n, a(n) for n=1..101.

N. Hobson, Remark: x^x = 2.

J. Sondow and D. Marques, Algebraic and transcendental solutions of some exponential equations, Annales Mathematicae et Informaticae 37 (2010) 151-164; see top of p. 4 in the link.

FORMULA

The constant is ln(2)/LambertW(ln(2)). - Simon Plouffe, Mar 23 2005

Equals 1/A104748.

EXAMPLE

1.559610469462369349970388768765002993284883511843091424719594569...

MATHEMATICA

RealDigits[ Log[2]/ProductLog[Log[2]], 10, 111][[1]] (* Robert G. Wilson v, Mar 23 2005)

CROSSREFS

Cf. A199550

Sequence in context: A199155 A243447 A046600 * A021951 A206772 A200679

Adjacent sequences:  A030795 A030796 A030797 * A030799 A030800 A030801

KEYWORD

nonn,cons

AUTHOR

N. J. A. Sloane, Simon Plouffe

EXTENSIONS

Definition clarified by Jonathan Sondow, Sep 02 2011

STATUS

approved

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Last modified December 21 10:09 EST 2014. Contains 252304 sequences.