A366316 Decimal expansion of Gamma(1/10) / (Gamma(2/15) * Gamma(7/15)).

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, 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, 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

Offset: 0

Author

Vaclav Kotesovec, Oct 06 2023

Keywords

• nonn
• cons

Examples

			0.71202391272664934751491237088911174403906744162700306692997...
		

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.

Crossrefs

Cf. A256191.

Programs

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]]

Formula

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