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1,2
The constant 1.559610469462... is transcendental. - Nick Hobson, Nov 29 2006
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.
Equals log(2)/LambertW(log(2)). - Simon Plouffe, Mar 23 2005
Equals 1/A104748.
1.559610469462369349970388768765002993284883511843091424719594569...
RealDigits[ Log[2]/ProductLog[Log[2]], 10, 111][[1]] (* Robert G. Wilson v, Mar 23 2005 *)
(PARI) solve(x=1, 2, x^x-2) \\ Michel Marcus, Jan 14 2015
Cf. A199550.
Sequence in context: A199155 A243447 A046600 * A021951 A206772 A200679
Adjacent sequences: A030795 A030796 A030797 * A030799 A030800 A030801
nonn,cons
N. J. A. Sloane, Simon Plouffe
Definition clarified by Jonathan Sondow, Sep 02 2011
approved