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A227242
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Decimal expansion of (e^gamma - 1)/e^gamma.
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5
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4, 3, 8, 5, 4, 0, 5, 1, 6, 4, 3, 3, 1, 1, 4, 8, 3, 0, 1, 7, 5, 8, 5, 6, 7, 8, 5, 2, 0, 9, 1, 1, 9, 2, 1, 3, 2, 3, 4, 2, 8, 9, 6, 1, 3, 0, 7, 4, 8, 4, 6, 8, 3, 1, 8, 4, 5, 8, 4, 0, 9, 2, 3, 9, 5, 4, 9, 1, 2, 0, 3, 2, 9, 2, 5, 7, 1, 4, 3, 6, 2, 8, 6, 7, 1, 2, 8, 8, 4, 1, 0, 6, 5, 7, 8, 5, 6, 4, 1, 2, 3, 2, 6, 8, 0
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OFFSET
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0,1
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COMMENTS
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The value is equal to lim_{n->oo} (Sum_{d|n#, d>n} 1/phi(d))/(Sum_{d|n#} 1/phi(d)).
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LINKS
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FORMULA
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Equals 1 - exp(-gamma) = 1 - A080130.
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EXAMPLE
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(exp(gamma) - 1)/exp(gamma) = 0.438540516433114830175856785....
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MAPLE
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MATHEMATICA
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RealDigits[(E^EulerGamma - 1)/E^EulerGamma, 10, 50][[1]] (* G. C. Greubel, Oct 02 2017 *)
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PROG
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(Magma) E:=EulerGamma(RealField(105)); Reverse(Intseq(Floor(10^105*(Exp(E)-1)/Exp(E))))
(PARI) default(realprecision, 105); x=10*(exp(Euler)-1)/exp(Euler); for(n=1, 105, d=floor(x); x=(x-d)*10; print1(d, ", "));
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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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