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A093066
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Decimal expansion of (4 + 17*sqrt(2) - 6*sqrt(3) - 7*Pi + 21*log(1+sqrt(2)) + 42*log(2+sqrt(3)))/75.
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5
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9, 2, 6, 3, 9, 0, 0, 5, 5, 1, 7, 4, 0, 4, 6, 7, 2, 9, 2, 1, 8, 1, 6, 3, 5, 8, 6, 5, 4, 7, 7, 7, 9, 0, 1, 4, 4, 4, 4, 9, 6, 0, 1, 9, 0, 1, 0, 7, 3, 3, 5, 0, 4, 6, 7, 3, 2, 5, 2, 1, 9, 2, 1, 2, 7, 1, 4, 1, 8, 5, 0, 4, 5, 9, 4, 0, 3, 6, 6, 8, 3, 8, 2, 9, 3, 1, 3, 4, 7, 3, 0, 7, 5, 3, 4, 9, 9, 6, 8, 2, 1, 2
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OFFSET
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0,1
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COMMENTS
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Average distance between two points chosen at random on two different faces of a unit cube.
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LINKS
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EXAMPLE
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0.926390055...
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MATHEMATICA
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RealDigits[(4 + 17*Sqrt[2] - 6*Sqrt[3] - 7*Pi + 21*Log[1 + Sqrt[2]] + 42*Log[2 + Sqrt[3]])/75, 10, 10001][[1]] (* G. C. Greubel, Oct 01 2018 *)
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PROG
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(PARI) default(realprecision, 100); (4 + 17*sqrt(2) - 6*sqrt(3) - 7*Pi + 21*log(1 + sqrt(2)) + 42*log(2 + sqrt(3)))/75 \\ G. C. Greubel, Oct 01 2018
(Magma) SetDefaultRealField(RealField(100)); R:= RealField(); (4 + 17*Sqrt(2) - 6*Sqrt(3) - 7*Pi(R) + 21*Log(1 + Sqrt(2)) + 42*Log(2 + Sqrt(3)))/75; // G. C. Greubel, Oct 01 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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