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

1,2

Comments

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

Links

G. C. Greubel, Table of n, a(n) for n = 1..10000

Wikipedia, Euler-Mascheroni constant.

Wikipedia, Gamma function.

Formula

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

Example

1.54388174181566169872011938841317019355218...

Mathematica

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

Prog

(PARI) default(realprecision, 100); gamma(Euler) \\ G. C. Greubel, Sep 03 2018
(Magma) SetDefaultRealField(RealField(100)); R:= RealField(); Gamma(EulerGamma(R)); // G. C. Greubel, Sep 03 2018

Crossrefs

Cf. A001620, A073004.

Sequence in context: A192918 A092156 A086409 * A194556 A154198 A086793

Adjacent sequences: A202409 A202410 A202411 * A202413 A202414 A202415

Keyword

nonn,cons

Author

Peter Luschny, Jan 12 2012

Status

approved