A175380 Decimal expansion of Gamma(1/5).

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

Offset: 1

Author

R. J. Mathar, Apr 24 2010

Keywords

• cons
• nonn

Examples

			Equals 4.590843711998803053204758275929152...
		

Links

• G. C. Greubel, Table of n, a(n) for n = 1..5000
• R. 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(1/5); // G. C. Greubel, Mar 10 2018

Maple

evalf(GAMMA(1/5));

Mathematica

RealDigits[Gamma[1/5],10,120][[1]] (* Harvey P. Dale, May 26 2011 *)

PARI

gamma(1/5) \\ G. C. Greubel, Jan 15 2017

Formula

Equals Pi * sqrt(2) * sqrt(5 + sqrt(5)) / (sqrt(5) * Gamma(4/5) ) = A063448 * sqrt(5 + A002163) / (A002163 * Gamma(4/5)) where Gamma(4/5) = A340722.