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A247677
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Decimal expansion of the integral over the square [0,Pi]x[0,Pi] of log(2-cos(x)-cos(y)) dx dy.
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3
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4, 6, 6, 9, 2, 7, 4, 6, 6, 2, 5, 7, 5, 5, 2, 8, 0, 6, 2, 2, 6, 2, 8, 4, 1, 5, 1, 2, 1, 3, 2, 0, 9, 5, 1, 2, 9, 1, 5, 9, 6, 3, 8, 5, 5, 2, 0, 2, 2, 8, 0, 2, 7, 8, 7, 7, 2, 4, 6, 5, 1, 3, 6, 0, 1, 0, 2, 3, 2, 8, 5, 1, 8, 6, 4, 4, 3, 9, 5, 0, 4, 3, 3, 0, 9, 4, 7, 5, 1, 5, 5, 0, 3, 8, 9, 1, 5, 9, 4, 2, 3, 7, 6, 5
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OFFSET
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1,1
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LINKS
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FORMULA
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Equals 4*Pi*Catalan - Pi^2*log(2).
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EXAMPLE
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4.6692746625755280622628415121320951291596385520228...
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MATHEMATICA
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RealDigits[4*Pi*Catalan - Pi^2*Log[2], 10, 104] // First
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PROG
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(Magma) SetDefaultRealField(RealField(100)); R:= RealField(); 4*Pi(R)*Catalan(R) - Pi(R)^2*Log(2); // G. C. Greubel, Aug 31 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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