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A335028
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Decimal expansion of Pi*(exp(1/e) - 1)/2.
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1
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6, 9, 8, 4, 8, 2, 6, 4, 2, 7, 1, 7, 8, 8, 4, 2, 7, 2, 2, 6, 7, 2, 3, 0, 3, 5, 8, 4, 9, 7, 7, 1, 2, 4, 4, 4, 5, 6, 2, 8, 4, 8, 3, 6, 6, 9, 3, 2, 9, 2, 9, 7, 9, 3, 6, 9, 9, 3, 7, 2, 3, 6, 6, 2, 3, 3, 4, 5, 9, 0, 3, 0, 1, 2, 5, 4, 3, 6, 9, 0, 4, 3, 0, 0, 6, 9, 8
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OFFSET
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0,1
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COMMENTS
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The value of an integral (see formula) first calculated by Cauchy in 1825 (with an error that was corrected in 1826).
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LINKS
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FORMULA
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Equals Integral_{x=0..oo} (exp(cos(x)) * sin(sin(x)) * x /(x^2 + 1)) * dx.
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EXAMPLE
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0.69848264271788427226723035849771244456284836693292...
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MATHEMATICA
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RealDigits[Pi*(Exp[1/E] - 1)/2, 10, 100][[1]]
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PROG
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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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