[go: up one dir, main page]

login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A256066
Decimal expansion of log(Gamma(1/12)).
16
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
1,1
LINKS
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)).
EXAMPLE
2.44229731118288975091554935219408858208684110709150...
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]]
PROG
(PARI) log(gamma(1/12))
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)).
Sequence in context: A156283 A126123 A285349 * A096832 A016588 A234247
KEYWORD
nonn,cons
AUTHOR
STATUS
approved