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A371861
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Decimal expansion of Integral_{x=0..1} sqrt(1 - x^3) dx.
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0
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8, 4, 1, 3, 0, 9, 2, 6, 3, 1, 9, 5, 2, 7, 2, 5, 5, 6, 7, 0, 5, 0, 1, 1, 4, 4, 7, 4, 3, 0, 1, 7, 6, 4, 8, 1, 2, 7, 7, 8, 1, 3, 3, 2, 3, 2, 5, 4, 3, 9, 1, 6, 5, 7, 7, 0, 9, 1, 9, 6, 3, 9, 2, 2, 4, 5, 7, 7, 0, 8, 5, 9, 5, 8, 9, 0, 8, 1, 9, 7, 7, 6, 4, 2, 5, 1, 1, 3, 5, 9, 8, 9, 1, 0, 1, 4, 8, 7, 0, 8, 2, 3, 3
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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 sqrt(Pi) * Gamma(1/3) / (6 * Gamma(11/6)).
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EXAMPLE
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0.8413092631952725567050114474301764812778...
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MATHEMATICA
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RealDigits[Sqrt[Pi] Gamma[1/3]/(6 Gamma[11/6]), 10, 103][[1]]
RealDigits[Sqrt[3] * Gamma[1/3]^3 / (5*Pi*2^(4/3)), 10, 103][[1]] (* Vaclav Kotesovec, Apr 09 2024 *)
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PROG
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(PARI) intnum(x=0, 1, sqrt(1 - x^3)) \\ Michel Marcus, Apr 10 2024
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CROSSREFS
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Decimal expansions of Integral_{x=0..1} sqrt(1 - x^k) dx: A003881 (k=2), this sequence (k=3), A225119 (k=4).
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KEYWORD
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AUTHOR
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STATUS
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approved
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