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

0,1

Links

Table of n, a(n) for n=0..105.

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

Cf. A256191.

Sequence in context: A111830 A212943 A174588 * A199001 A350048 A378969

Adjacent sequences: A366313 A366314 A366315 * A366317 A366318 A366319

Keyword

nonn,cons

Author

Vaclav Kotesovec, Oct 06 2023

Status

approved