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A244976
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Decimal expansion of Pi/(8*sqrt(2)).
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9
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2, 7, 7, 6, 8, 0, 1, 8, 3, 6, 3, 4, 8, 9, 7, 8, 9, 0, 4, 3, 8, 4, 9, 2, 5, 6, 1, 8, 7, 8, 7, 9, 3, 3, 5, 6, 1, 6, 3, 4, 1, 3, 8, 5, 5, 5, 8, 5, 9, 8, 0, 6, 3, 8, 9, 4, 2, 8, 3, 7, 2, 2, 5, 4, 3, 4, 7, 7, 7, 1, 7, 4, 5, 6, 8, 7, 1, 7, 1, 1, 9, 4, 1, 0, 9, 5, 7, 9, 3, 3, 4, 2, 2, 7, 9, 7, 8, 2, 7, 3, 3, 5, 2, 1, 3
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OFFSET
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0,1
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REFERENCES
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George Boros and Victor H. Moll, Irresistible integrals, Cambridge University Press (2006), Chapter 13 A Master Formula, p. 250.
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LINKS
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FORMULA
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Equals Integral_{x=0..1} (x^2*(1 + x^2))/(1 + x^4)^2 dx.
Equals beta(3/2, 1/2)/(4*sqrt(2)), where 'beta' is Euler's beta function.
Equals Sum_{k >= 0} (-1)^k * (2*k + 1)/((4*k + 1)*(4*k + 3)). - Peter Bala, Sep 21 2016
Equals Integral_{x>=0} 1/(x^2 + 2)^2 dx. - Amiram Eldar, Nov 16 2021
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EXAMPLE
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0.277680183634897890438492561878793356163413855585980638942837225434777...
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MATHEMATICA
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RealDigits[Pi/(8*Sqrt[2]), 10, 105] // First
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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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