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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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11
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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
(list; constant; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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COMMENTS
| Sometimes called the Omega constant.
The first 59 digits form a prime: 5671432904097838729999686622103555497538157871865125081351. - Jonathan Vos Post (jvospost3(AT)gmail.com), Nov 09, 2004
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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
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EXAMPLE
| 0.5671432904097838...
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MAPLE
| evalf(LambertW(1));
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MATHEMATICA
| RealDigits[ ProductLog[1], 10, 111][[1]] (from Robert G. Wilson v May 19 2004)
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CROSSREFS
| 1/A030797. Cf. A019474.
Sequence in context: A189240 A081820 A019978 * A038458 A021642 A101288
Adjacent sequences: A030175 A030176 A030177 * A030179 A030180 A030181
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KEYWORD
| nonn,cons
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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