A328339 Simple continued fraction expansion of Gamma(exp(gamma)+1).

1, 1, 1, 1, 6, 15, 1, 4, 2, 1, 11, 2, 3, 1, 1, 13, 1, 1, 1, 1, 5, 1, 27, 1, 37, 1, 1, 2, 2, 2, 40, 1, 3, 1, 5, 1, 1, 3, 3942, 3, 2, 1, 13, 3, 11, 1, 2, 1, 15, 1, 1, 2, 1, 51, 37, 1, 1, 13, 4, 1, 1, 2, 5, 1, 1, 2, 1, 1, 5, 1, 75, 1, 16, 6, 2, 2, 1, 1, 7, 2, 4

Offset: 0

Author

Daniel Hoyt, Oct 12 2019

Keywords

• cofr
• nonn

Comments

'Gamma' is the gamma function, and 'gamma' is the Euler-Mascheroni constant.

Approximation of Gamma(exp(gamma)+1) in decimal: 1.6501566139104548059...

Crossrefs

Cf. A094644, A073004, A079650.

Programs

Mathematica

ContinuedFraction[Gamma[1 + Exp[EulerGamma]], 81] (* Amiram Eldar, Oct 13 2019 *)

PARI

contfrac(gamma(exp(Euler)+1)) \\ Michel Marcus, Nov 04 2019

Formula

Gamma(exp(gamma)+1) = Gamma(exp(gamma)) * exp(gamma).