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A220610
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Decimal expansion of sqrt(2*Pi^3).
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1
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7, 8, 7, 4, 8, 0, 4, 9, 7, 2, 8, 6, 1, 2, 0, 9, 8, 7, 2, 1, 4, 5, 3, 2, 2, 9, 9, 7, 2, 3, 3, 6, 0, 2, 2, 7, 1, 1, 5, 5, 8, 4, 2, 6, 9, 1, 3, 9, 9, 3, 6, 6, 9, 2, 9, 1, 2, 8, 6, 5, 3, 8, 6, 5, 2, 0, 3, 4, 5, 5, 3, 2, 6, 6, 0, 0, 8, 2, 7, 8, 0, 8, 8, 7, 9, 7, 3
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OFFSET
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1,1
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COMMENTS
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This is the case n=4 of Product_{i=1..n-1} Gamma(i/n) = sqrt((2*Pi)^(n-1)/n).
Continued fraction expansion: 7, 1, 6, 1, 79, 4, 7, 1, 1, 1, 1, 1, 1, 4, 2, 3, 73, 1, 2, 1, 14, 3, 2, 1, 1, 2, 3, 1, ...
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LINKS
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FORMULA
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EXAMPLE
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7.8748049728612098721453229972336022711558426913993669291...
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MAPLE
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MATHEMATICA
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RealDigits[Sqrt[2 Pi^3], 10, 90][[1]]
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PROG
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(Maxima) fpprec:90; ev(bfloat(sqrt(2*%pi^3)));
(PARI) default(realprecision, 100); sqrt(2*Pi^3) \\ G. C. Greubel, Sep 29 2018
(Magma) SetDefaultRealField(RealField(100)); R:= RealField(); Sqrt(2*Pi(R)^3); // G. C. Greubel, Sep 29 2018
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CROSSREFS
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Cf. numbers of the form sqrt((2*Pi)^(n-1)/n) -- see the first comment: A002161 (n=2), A186706 (n=3).
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KEYWORD
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AUTHOR
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STATUS
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approved
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