A256066 Decimal expansion of log(Gamma(1/12)).

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

Offset: 1

Author

Iaroslav V. Blagouchine, Mar 18 2015

Keywords

• nonn
• cons

Examples

			2.44229731118288975091554935219408858208684110709150...
		

Links

• G. C. Greubel, Table of n, a(n) for n = 1..5000

Crossrefs

Cf. A203140 (Gamma(1/12)), A256165 (log(Gamma(1/3))), A256166 (log(Gamma(1/4))), A256167 (log(Gamma(1/5))), A255888 (log(Gamma(1/6))), A255306 (log(Gamma(1/8))), A255189 (first generalized Stieltjes constant at 1/12, gamma_1(1/12)).

Programs

Maple

evalf(log(GAMMA(1/12)),100);
evalf(-(1/4)*log(2)+(3/8)*log(3)+(1/2)*log(1+sqrt(3))-(1/2)*log(Pi)+log(GAMMA(1/4))+log(GAMMA(1/3)), 100);

Mathematica

RealDigits[Log[Gamma[1/12]],10,100][[1]]

PARI

log(gamma(1/12))

Formula

Equals -(1/4)*log(2) + (3/8)*log(3) + (1/2)*log(1+sqrt(3)) - (1/2)*log(Pi) + log(Gamma(1/4)) + log(Gamma(1/3)).