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A030798
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Decimal expansion of the solution to x^x = 2.
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16
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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; internal format)
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OFFSET
| 1,2
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COMMENTS
| The constant 1.559610469462... is transcendental. - Nick Hobson Nov 29 2006
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LINKS
| 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.
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FORMULA
| The constant is ln(2)/LambertW(ln(2)). - Simon Plouffe, Mar 23 2005
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EXAMPLE
| 1.559610469462369349970388768765002993284883511843091424719594569...
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MATHEMATICA
| RealDigits[ Log[2]/ProductLog[Log[2]], 10, 111][[1]] (from Robert G. Wilson v Mar 23 2005)
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CROSSREFS
| Equals 1/A104748.
Sequence in context: A046567 A199155 A046600 * A021951 A200679 A124175
Adjacent sequences: A030795 A030796 A030797 * A030799 A030800 A030801
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KEYWORD
| nonn,cons
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Simon Plouffe (simon.plouffe(AT)gmail.com)
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EXTENSIONS
| Definition clarified by Jonathan Sondow (jsondow(AT)alumni.princeton.edu), Sep 02 2011
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