login
This site is supported by donations to The OEIS Foundation.

 

Logo

Annual Appeal: Please make a donation (tax deductible in USA) to keep the OEIS running. Over 5000 articles have referenced us, often saying "we discovered this result with the help of the OEIS".

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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.

Gianni Sarcone, Zoo of Numbers: Numbers NaN to 6, Archimedes Lab, Genoa, Italy.

Jonathan Sondow and Diego 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

Equals log(2)/LambertW(log(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 *)

PROG

(PARI) solve(x=1, 2, x^x-2) \\ Michel Marcus, Jan 14 2015

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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified December 4 11:13 EST 2016. Contains 278750 sequences.