A202412 Decimal expansion of Gamma(gamma).

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

Offset: 1

Author

Peter Luschny, Jan 12 2012

Keywords

• nonn
• cons

Comments

Gamma is the Euler Gamma function, gamma is the Euler-Mascheroni constant A001620.

Examples

			1.54388174181566169872011938841317019355218...
		

Links

• G. C. Greubel, Table of n, a(n) for n = 1..10000
• Wikipedia, Euler-Mascheroni constant.
• Wikipedia, Gamma function.

Crossrefs

Cf. A001620, A073004.

Programs

Magma

SetDefaultRealField(RealField(100)); R:= RealField(); Gamma(EulerGamma(R)); // G. C. Greubel, Sep 03 2018

Mathematica

RealDigits[Gamma[EulerGamma], 10, 100][[1]]

PARI

default(realprecision, 100); gamma(Euler) \\ G. C. Greubel, Sep 03 2018

Formula

gamma*Gamma(gamma) = exp(-gamma^2)*Prod_{n=1..oo} exp(gamma/n)/(1+gamma/n). -- Karl Weierstrass, 1854