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A229553
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Decimal expansion of the unique solution > 1 of the equation x*log(x)=2(x-1).
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1
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4, 9, 2, 1, 5, 5, 3, 6, 3, 4, 5, 6, 7, 5, 0, 5, 0, 9, 2, 4, 5, 6, 7, 6, 2, 3, 1, 1, 7, 5, 4, 4, 7, 8, 7, 4, 1, 5, 9, 4, 4, 2, 7, 6, 1, 7, 3, 4, 9, 9, 0, 8, 3, 4, 1, 5, 9, 2, 3, 9, 5, 5, 9, 4, 5, 7, 7, 3, 2, 2, 2, 8, 4, 7, 9, 8, 0, 9, 7, 9, 7, 7, 6, 4, 0, 8, 3
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OFFSET
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1,1
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REFERENCES
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Steven R. Finch, Mathematical Constants (2.23 Diophantine approximation constants), Cambridge University Press, 2003, p. 177.
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LINKS
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FORMULA
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exp(W(-2/e^2)+2) where W is the Lambert/ProductLog function.
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EXAMPLE
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4.921553634567505092456762311754478741594427617349908341592395594577322284798...
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MATHEMATICA
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Exp[ProductLog[-2/E^2] + 2] // RealDigits[#, 10, 100]& // First
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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