%I #23 Jan 16 2017 05:57:59

%S 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,

%T 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,

%U 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

%N Decimal expansion of log(Gamma(1/12)).

%H G. C. Greubel, <a href="/A256066/b256066.txt">Table of n, a(n) for n = 1..5000</a>

%F 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)).

%e 2.44229731118288975091554935219408858208684110709150...

%p evalf(log(GAMMA(1/12)),100);

%p 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);

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

%o (PARI) log(gamma(1/12))

%Y 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)).

%K nonn,cons

%O 1,1

%A _Iaroslav V. Blagouchine_, Mar 18 2015