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A019706
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Decimal expansion of sqrt(Pi)/4.
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3
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4, 4, 3, 1, 1, 3, 4, 6, 2, 7, 2, 6, 3, 7, 9, 0, 0, 6, 8, 2, 4, 5, 4, 1, 8, 7, 0, 8, 3, 5, 2, 8, 6, 2, 9, 5, 6, 9, 9, 3, 8, 7, 3, 6, 4, 0, 3, 0, 5, 9, 6, 7, 8, 2, 0, 5, 3, 4, 5, 1, 9, 4, 7, 4, 6, 3, 2, 2, 7, 8, 2, 1, 1, 4, 7, 7, 5, 8, 0, 4, 5, 3, 4, 3, 7, 3, 7, 6, 6, 4, 1, 8, 4, 6, 3, 6, 1, 6, 6
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OFFSET
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0,1
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LINKS
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FORMULA
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Equals Integral_{x >= 0} sin(8x)/sqrt(x) dx [Gradshteyn and Ryzhik].
Equals Integral_{x >= 0} cos(8x)/sqrt(x) dx [Gradshteyn and Ryzhik]. (End)
Equals Integral_{x=0..oo} x * exp(-x^4) dx.
Equals Integral_{x=0..oo} x^2 * exp(-x^2) dx. (End)
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EXAMPLE
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0.44311346272637900682454187083528629569938736403059678...
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MAPLE
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MATHEMATICA
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First[RealDigits[Sqrt[Pi]/4, 10, 100]] (* Paolo Xausa, May 02 2024 *)
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PROG
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(PARI) intnum(x=0, [oo, -8*I], sin(8*x)/sqrt(x)) \\ Gheorghe Coserea, Sep 23 2018
(PARI) intnum(x=[0, -1/2], [oo, 8*I], cos(8*x)/sqrt(x)) \\ Gheorghe Coserea, Sep 23 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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