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A030178
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Decimal expansion of LambertW(1): the solution to x exp(x) = 1.
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12
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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
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OFFSET
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0,1
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COMMENTS
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Sometimes called the Omega constant.
The first 59 digits form a prime: 5671432904097838729999686622103555497538157871865125081351. - Jonathan Vos Post, Nov 09, 2004
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LINKS
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Table of n, a(n) for n=0..104.
Daniel Cummerow, Sound of Mathematics, Constants.
_Simon Plouffe_, Plouffe's Inverter, Lambert W(1, 0)
_Simon Plouffe_, The omega constant or W(1)
Eric Weisstein's World of Mathematics, Omega Constant
Eric Weisstein's World of Mathematics, Lambert W-Function
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EXAMPLE
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0.5671432904097838729999686622103555497538157871865125081351310792230457930866...
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MAPLE
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evalf(LambertW(1));
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MATHEMATICA
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RealDigits[ ProductLog[1], 10, 111][[1]] (from Robert G. Wilson v May 19 2004)
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PROG
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(PARI) solve(x=0, 1, x*exp(x)-1) \\ Charles R Greathouse IV, Mar 20, 2012
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CROSSREFS
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1/A030797. Cf. A019474.
Sequence in context: A081820 A214681 A019978 * A038458 A021642 A101288
Adjacent sequences: A030175 A030176 A030177 * A030179 A030180 A030181
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KEYWORD
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nonn,cons,changed
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AUTHOR
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N. J. A. Sloane.
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STATUS
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approved
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