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Decimal expansion of Gamma(1/10) / (Gamma(2/15) * Gamma(7/15)).
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%I #9 Oct 07 2023 08:48:45

%S 7,1,2,0,2,3,9,1,2,7,2,6,6,4,9,3,4,7,5,1,4,9,1,2,3,7,0,8,8,9,1,1,1,7,

%T 4,4,0,3,9,0,6,7,4,4,1,6,2,7,0,0,3,0,6,6,9,2,9,9,7,2,3,0,0,6,4,3,9,2,

%U 0,3,5,0,7,9,0,8,7,5,2,0,5,1,7,6,6,2,1,0,4,1,6,9,9,8,9,6,9,2,7,2,2,1,9,5,7,3

%N Decimal expansion of Gamma(1/10) / (Gamma(2/15) * Gamma(7/15)).

%H Mathematics StackExchange, <a href="https://math.stackexchange.com/questions/406200/is-it-possible-to-simplify-frac-gamma-left-frac110-right-gamma-left">Is it possible to simplify Gamma(1/10) / (Gamma(2/15) * Gamma(7/15)) ?</a>, 2013.

%H MathOverflow, <a href="https://mathoverflow.net/questions/7616/when-are-some-products-of-gamma-functions-algebraic-numbers">When are some products of gamma functions algebraic numbers?</a>, 2009.

%H R. Vidunas, <a href="http://arxiv.org/abs/math/0403510">Expressions for values of the Gamma function</a>, arxiv:math/0403510 [math.CA], 2004.

%F Equals (1 + sqrt(5)) / (3^(1/10) * 2^(6/5) * sqrt(Pi)).

%e 0.71202391272664934751491237088911174403906744162700306692997...

%t RealDigits[Gamma[1/10]/Gamma[2/15]/Gamma[7/15], 10, 120][[1]]

%t RealDigits[(Sqrt[5] + 1) / (3^(1/10) * 2^(6/5) * Sqrt[Pi]), 10, 120][[1]]

%Y Cf. A256191.

%K nonn,cons

%O 0,1

%A _Vaclav Kotesovec_, Oct 06 2023