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A175293
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Decimal expansion of Pi * 2F3(1/2,1/2; 3/2,3/2,3/2; -Pi^2/4).
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0
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2, 6, 5, 8, 1, 3, 4, 9, 1, 6, 5, 0, 8, 6, 4, 0, 8, 7, 1, 7, 7, 5, 0, 5, 2, 0, 4, 9, 1, 9, 4, 6, 0, 3, 9, 8, 6, 3, 2, 8, 2, 6, 1, 6, 6, 4, 0, 3, 6, 9, 4, 0, 8, 5, 0, 5, 0, 4, 6, 2, 5, 5, 4, 4, 2, 4, 5, 0, 1, 3, 2, 4, 0, 9, 2, 4, 0, 3, 9, 8, 3, 2, 6, 6, 1, 6, 2, 6, 5, 1, 9, 1, 1, 8, 4, 5, 2, 8, 2, 1, 7, 4, 3, 1, 1
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OFFSET
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1,1
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COMMENTS
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The absolute value of the integral of sin(Pi*x)*log(x)/x from x=0 to 1.
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LINKS
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EXAMPLE
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2.6581349...
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MAPLE
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evalf(Pi*hypergeom([1/2, 1/2], [3/2, 3/2, 3/2], -Pi^2/4)) ;
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MATHEMATICA
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Pi*HypergeometricPFQ[{1/2, 1/2}, {3/2, 3/2, 3/2}, -Pi^2/4] // RealDigits[#, 10, 105]& // First (* Jean-François Alcover, Feb 20 2013 *)
RealDigits[-NIntegrate[Sin[Pi*x] Log[x]/x, {x, 0, 1}, WorkingPrecision-> 120], 10, 120][[1]] (* Harvey P. Dale, Oct 09 2017 *)
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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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