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A357597
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Decimal expansion of real part of zeta'(0, 1-sqrt(2)).
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0
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3, 8, 2, 9, 3, 8, 7, 5, 2, 6, 4, 9, 1, 4, 7, 5, 1, 2, 5, 9, 3, 5, 7, 1, 8, 5, 1, 9, 6, 4, 7, 3, 1, 6, 4, 8, 4, 8, 0, 9, 9, 1, 6, 8, 2, 4, 7, 2, 3, 2, 5, 5, 2, 9, 3, 1, 3, 0, 9, 5, 8, 0, 8, 4, 6, 9, 2, 5, 6, 2, 7, 7, 5, 3, 2, 2, 3, 4, 6, 3, 1, 8, 3, 4, 5, 3, 7, 0, 0, 6, 2, 8, 4, 7, 3, 8, 1, 4, 0, 3, 5, 0, 4, 7, 0
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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 arcsinh(1) + log(Pi/2)/2 + log(-csc(Pi*sqrt(2))/Gamma(sqrt(2)-1)).
Equals Re(log(Gamma(1-sqrt(2))/sqrt(2*Pi))).
Equals log(-sqrt(Pi)/(sqrt(2)!*sin(sqrt(2)*Pi))). - Peter Luschny, Feb 26 2023
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EXAMPLE
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0.38293875264914751259357185...
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MAPLE
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MATHEMATICA
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RealDigits[N[ArcSinh[1] + Log[Pi/2]/2 + Log[-Csc[Sqrt[2] Pi]/Gamma[Sqrt[2] - 1]], 105]][[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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