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A258759
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Decimal expansion of Ls_3(Pi/3), the value of the 3rd basic generalized log-sine integral at Pi/3 (negated).
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4
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2, 0, 0, 9, 6, 6, 6, 0, 8, 1, 1, 3, 0, 5, 4, 3, 9, 0, 0, 2, 6, 2, 3, 5, 3, 7, 5, 4, 3, 4, 9, 1, 6, 4, 5, 0, 3, 8, 4, 7, 9, 3, 5, 3, 7, 0, 0, 1, 1, 0, 7, 1, 7, 9, 4, 9, 9, 0, 8, 4, 9, 6, 9, 1, 9, 1, 3, 3, 7, 7, 4, 4, 8, 3, 5, 4, 2, 5, 8, 7, 2, 4, 6, 5, 7, 1, 0, 0, 9, 9, 2, 8, 5, 3, 8, 9, 0, 7, 7, 1, 7, 7, 0, 4, 7
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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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-Integral_{0..Pi/3} log(2*sin(x/2))^2 dx = -7*Pi^3/108.
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EXAMPLE
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-2.0096660811305439002623537543491645038479353700110717949908496919...
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MATHEMATICA
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RealDigits[-7*Pi^3/108, 10, 105] // First
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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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