A203142 Decimal expansion of Gamma(1/8).

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

Offset: 1

Author

N. J. A. Sloane, Dec 29 2011

Keywords

• nonn
• cons

Examples

			7.5339415987976119046992298412151336246104195881490759409831...
		

Links

• G. C. Greubel, Table of n, a(n) for n = 1..5000
• Raimundas Vidunas, Expressions for values of the Gamma function, arXiv:math/0403510 [math.CA], 2004.
• Wikipedia, Particular values of the Gamma function: General rational arguments
• Index to sequences related to the Gamma function

Programs

Magma

SetDefaultRealField(RealField(100)); Gamma(1/8); // G. C. Greubel, Mar 10 2018

Mathematica

RealDigits[Gamma[1/8], 10, 100][[1]] (* Bruno Berselli, Dec 13 2012 *)
RealDigits[Pi^(1/8) * 2^(17/8) * EllipticK[1/2]^(1/4) * EllipticK[3 - 2*Sqrt[2]]^(1/2), 10, 100][[1]] (* Vaclav Kotesovec, Apr 15 2024 *)

PARI

default(realprecision, 100); gamma(1/8) \\ G. C. Greubel, Jan 15 2017

Formula

this * A203144 * A231863 /2^(1/4) = A068466. - R. J. Mathar, Jan 15 2021