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A030798 1.559610469462... raised to itself is 2. +0
2
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; cons; graph; listen)
OFFSET

1,2

COMMENT

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

LINKS

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

FORMULA

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

EXAMPLE

1.559610469462369349970388768765002993284883511843091424719594569...

MATHEMATICA

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

CROSSREFS

Equals 1/A104748.

Sequence in context: A019843 A046567 A046600 this_sequence A021951 A124175 A163980

Adjacent sequences: A030795 A030796 A030797 this_sequence A030799 A030800 A030801

KEYWORD

nonn,cons

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Simon Plouffe (simon.plouffe(AT)gmail.com)

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Last modified December 5 20:25 EST 2009. Contains 170428 sequences.


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