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A030178 Decimal expansion of LambertW(1): the solution to x exp(x) = 1. +0
11
5, 6, 7, 1, 4, 3, 2, 9, 0, 4, 0, 9, 7, 8, 3, 8, 7, 2, 9, 9, 9, 9, 6, 8, 6, 6, 2, 2, 1, 0, 3, 5, 5, 5, 4, 9, 7, 5, 3, 8, 1, 5, 7, 8, 7, 1, 8, 6, 5, 1, 2, 5, 0, 8, 1, 3, 5, 1, 3, 1, 0, 7, 9, 2, 2, 3, 0, 4, 5, 7, 9, 3, 0, 8, 6, 6, 8, 4, 5, 6, 6, 6, 9, 3, 2, 1, 9, 4, 4, 6, 9, 6, 1, 7, 5, 2, 2, 9, 4, 5, 5, 7, 6, 3, 8 (list; cons; graph; listen)
OFFSET

0,1

COMMENT

Sometimes called the Omega constant.

The first 59 digits form a prime: 5671432904097838729999686622103555497538157871865125081351. - Jonathan Vos Post (jvospost3(AT)gmail.com), Nov 09, 2004

LINKS

Daniel Cummerow, Sound of Mathematics, Constants.

S. Plouffe, Plouffe's Inverter, Lambert W(1, 0)

S. Plouffe, The omega constant or W(1)

Eric Weisstein's World of Mathematics, Omega Constant

Eric Weisstein's World of Mathematics, Lambert W-Function

EXAMPLE

0.5671432904097838...

MAPLE

evalf(LambertW(1));

MATHEMATICA

RealDigits[ ProductLog[1], 10, 111][[1]] (from Robert G. Wilson v May 19 2004)

CROSSREFS

1/A030797. Cf. A019474.

Sequence in context: A028314 A081820 A019978 this_sequence A038458 A021642 A101288

Adjacent sequences: A030175 A030176 A030177 this_sequence A030179 A030180 A030181

KEYWORD

nonn,cons

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified November 30 13:13 EST 2009. Contains 167758 sequences.


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