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A371929
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Decimal expansion of Pi^(1/2)*Gamma(1/12)/(6*Gamma(7/12)).
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2
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2, 2, 2, 2, 1, 5, 8, 6, 0, 3, 9, 6, 6, 4, 1, 4, 4, 6, 6, 9, 1, 5, 5, 8, 5, 3, 4, 3, 9, 2, 7, 2, 7, 7, 6, 1, 9, 0, 3, 3, 4, 5, 9, 7, 5, 1, 1, 4, 2, 5, 7, 7, 5, 0, 5, 3, 6, 9, 9, 9, 6, 2, 4, 1, 9, 4, 2, 8, 8, 3, 4, 0, 9, 1, 8, 4, 1, 3, 4, 0, 3, 9, 6, 2, 5, 8, 4, 2, 0
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OFFSET
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1,1
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COMMENTS
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Constants from generalized Pi integrals: the case of n=12.
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LINKS
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FORMULA
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Equals 2*Integral_{x=0..1} dx/sqrt(1-x^12).
Equals (1 + sqrt(3)) * Gamma(1/4)^2 / (4 * 3^(3/4) * sqrt(Pi)). - Vaclav Kotesovec, Apr 15 2024
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EXAMPLE
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2.2221586039664144669155853439....
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MAPLE
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MATHEMATICA
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RealDigits[Sqrt[Pi]/6*Gamma[1/12]/Gamma[7/12], 10, 5001][[1]]
RealDigits[(1 + Sqrt[3]) * Gamma[1/4]^2 / (4 * 3^(3/4) * Sqrt[Pi]), 10, 120][[1]] (* Vaclav Kotesovec, Apr 15 2024 *)
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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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