OFFSET
0,1
LINKS
Mathematics StackExchange, Is it possible to simplify Gamma(1/10) / (Gamma(2/15) * Gamma(7/15)) ?, 2013.
MathOverflow, When are some products of gamma functions algebraic numbers?, 2009.
R. Vidunas, Expressions for values of the Gamma function, arxiv:math/0403510 [math.CA], 2004.
FORMULA
Equals (1 + sqrt(5)) / (3^(1/10) * 2^(6/5) * sqrt(Pi)).
EXAMPLE
0.71202391272664934751491237088911174403906744162700306692997...
MATHEMATICA
RealDigits[Gamma[1/10]/Gamma[2/15]/Gamma[7/15], 10, 120][[1]]
RealDigits[(Sqrt[5] + 1) / (3^(1/10) * 2^(6/5) * Sqrt[Pi]), 10, 120][[1]]
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Vaclav Kotesovec, Oct 06 2023
STATUS
approved