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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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51
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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.
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LINKS
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FORMULA
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Equals (1/Pi) * Integral_{x=0..Pi} log(1 + sin(x)*exp(x*cot(x))/x) dx (Mező, 2020). - Amiram Eldar, Jul 04 2021
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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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PROG
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CROSSREFS
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Cf. A276759 (another fixed point of -exp(z)).
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KEYWORD
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AUTHOR
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STATUS
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approved
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