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A126583
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Decimal expansion of solution to exp(-x) = x^2.
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3
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7, 0, 3, 4, 6, 7, 4, 2, 2, 4, 9, 8, 3, 9, 1, 6, 5, 2, 0, 4, 9, 8, 1, 8, 6, 0, 1, 8, 5, 9, 9, 0, 2, 1, 3, 0, 3, 4, 2, 9, 2, 8, 4, 3, 1, 0, 3, 4, 2, 2, 3, 6, 0, 8, 0, 9, 3, 2, 8, 7, 6, 9, 2, 2, 1, 9, 9, 2, 1, 2, 2, 1, 4, 4, 0, 6, 7, 7, 4, 2, 1, 7, 9, 3, 6, 6, 4, 6, 0, 7, 6, 6, 4, 3, 8, 3, 1, 3, 8, 5, 4, 7
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OFFSET
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0,1
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COMMENTS
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The value of the infinite power tower function x^x^x... at x = sqrt(1/e). - Alois P. Heinz, Oct 19 2016
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LINKS
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FORMULA
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EXAMPLE
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0.7034674224983916520498186018599021303429284310342236...
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MATHEMATICA
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RealDigits[ FindRoot[ Exp[ -x] == x^2, {x, {.5, 1}}, WorkingPrecision -> 120][[1, 2, 1]], 10, 111][[1]]
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PROG
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CROSSREFS
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KEYWORD
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AUTHOR
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Denton J. Dailey (djd1497(AT)aol.com), Jan 05 2007
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STATUS
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approved
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