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A193373
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Decimal expansion of Pi/(2 + sqrt(2)).
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2
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9, 2, 0, 1, 5, 1, 1, 8, 4, 5, 1, 0, 6, 1, 0, 1, 1, 4, 9, 5, 4, 7, 0, 2, 8, 8, 8, 2, 4, 9, 1, 5, 6, 0, 3, 4, 8, 8, 9, 8, 5, 8, 5, 5, 4, 6, 8, 7, 2, 6, 0, 7, 0, 9, 4, 3, 2, 2, 4, 6, 7, 8, 8, 8, 2, 9, 5, 9, 9, 0, 0, 9, 7, 3, 6, 4, 7, 2, 0, 4, 3, 3, 4, 0, 3, 7, 1, 3, 5, 7, 9, 5, 9, 7, 3, 4, 4, 4, 9
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OFFSET
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0,1
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LINKS
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FORMULA
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Equals Integral_{x>=0} log(1 + 1/(1 + 2*x^2)) dx.
Equals Integral_{x=0..Pi} 1/(1 + csc(x)^2) dx. (End)
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EXAMPLE
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0.92015118451061011495470288824915603488985855468726...
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MAPLE
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MATHEMATICA
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RealDigits[Pi/(2 + Sqrt[2]), 10, 100][[1]] (* G. C. Greubel, Sep 29 2018 *)
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PROG
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(PARI) default(realprecision, 99); vecextract(eval(Vec(Str(Pi/(2+sqrt(2))))), "3..")
(Magma) SetDefaultRealField(RealField(100)); R:= RealField(); Pi(R)/(2 + Sqrt(2)); // G. C. Greubel, Sep 29 2018
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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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