A203140 Decimal expansion of Gamma(1/12).

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

Offset: 2

Author

N. J. A. Sloane, Dec 29 2011

Keywords

• nonn
• cons

Examples

			11.499428186073990663885609852439200979876615201365297219538...
		

Links

• G. C. Greubel, Table of n, a(n) for n = 2..5002
• R. Vidunas, Expressions for values of the Gamma function, arxiv:math/0403510 [math.CA], 2004.
• Index to sequences related to gamma function

Programs

Magma

SetDefaultRealField(RealField(100)); Gamma(1/12); // G. C. Greubel, Mar 10 2018

Mathematica

RealDigits[Gamma[1/12], 10, 100][[1]] (* G. C. Greubel, Jan 15 2017 *)
RealDigits[3^(3/8) * Sqrt[1 + Sqrt[3]] * Gamma[1/3] * Gamma[1/4] / (2^(1/4) * Sqrt[Pi]), 10, 120][[1]] (* Vaclav Kotesovec, Apr 15 2024 *)

PARI

default(realprecision, 100); gamma(1/12) \\ G. C. Greubel, Jan 15 2017

Formula

Equals 3^(3/8) * sqrt(1 + sqrt(3)) * Gamma(1/3) * Gamma(1/4) / (2^(1/4) * sqrt(Pi)). - Vaclav Kotesovec, Apr 15 2024