A371983 Decimal expansion of Gamma(1/30).
2, 9, 4, 5, 4, 7, 7, 9, 7, 4, 5, 6, 9, 9, 6, 9, 4, 0, 1, 9, 6, 9, 6, 2, 0, 8, 2, 8, 8, 6, 3, 8, 3, 4, 5, 7, 3, 4, 7, 0, 1, 8, 7, 3, 6, 0, 5, 5, 7, 2, 9, 7, 1, 1, 0, 4, 6, 5, 6, 5, 4, 1, 5, 5, 6, 7, 4, 9, 8, 8, 0, 5, 4, 5, 9, 9, 0, 5, 0, 1, 2, 0, 8, 2, 1, 9, 5, 7, 9, 4, 8, 5, 0, 9, 6, 5, 2, 1, 2, 9, 3, 8, 7, 6, 7
Offset: 2
Examples
29.4547797456996940196962082886383457347018736055729711046565415567498...
Links
- Albert Nijenhuis, Small Gamma Products with Simple Values, arXiv:0907.1689v1 [math.CA], 2009.
- R. Vidunas, Expressions for values of the Gamma function, arxiv:math/0403510 [math.CA], 2004.
- Index to sequences related to gamma function
Programs
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Maple
evalf(GAMMA(1/30), 130); # Alois P. Heinz, Apr 15 2024
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Mathematica
RealDigits[Gamma[1/30], 10, 120][[1]] RealDigits[2^(11/60) * 3^(9/20) * 5^(1/3) * Gamma[1/5] * Gamma[1/3] / ((10 + Sqrt[5] - Sqrt[75 + 30*Sqrt[5]])^(1/4) * Sqrt[Pi]), 10, 120][[1]]
Formula
Equals 3^(9/20) * sqrt(5 + sqrt(5)) * sqrt(sqrt(15) + sqrt(5 + 2*sqrt(5))) * Gamma(1/3) * Gamma(1/5) / (sqrt(Pi) * 2^(16/15) * 5^(1/6)).
Equals 2^(11/60) * 3^(9/20) * 5^(1/3) * Gamma(1/5) * Gamma(1/3) / ((10 + sqrt(5) - sqrt(75 + 30*sqrt(5)))^(1/4) * sqrt(Pi)).
Equals 8*Pi^2 / (Gamma(17/30) * Gamma(19/30) * Gamma(23/30)).
Equals Gamma(7/30) * Gamma(11/30) * Gamma(13/30) / (2*Pi*A019815).
Comments