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Decimal expansion of the logarithm of the generalized Glaisher-Kinkelin constant A(11) (negated).
1

%I #13 Apr 02 2016 08:59:09

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

%T 1,4,9,7,7,0,1,2,2,9,1,4,3,9,4,4,9,4,3,4,6,2,5,7,1,9,1,4,7,5,4,2,4,6,

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

%N Decimal expansion of the logarithm of the generalized Glaisher-Kinkelin constant A(11) (negated).

%C The logarithm of the eleventh Bendersky constant.

%H G. C. Greubel, <a href="/A271175/b271175.txt">Table of n, a(n) for n = 0..2000</a>

%F log(A(11)) = (1/12)*HarmonicNumber(11)*Bernoulli(12) - RiemannZeta'(-11).

%F log(A(11)) = (Bernoulli(12)/12)*(EulerGamma + log(2*Pi) - Zeta'(12)/Zeta(12)).

%e -0.050944672580785642734014417286312...

%t Join[{0}, RealDigits[(BernoulliB[12]/12)*(EulerGamma + Log[2*Pi] - Zeta'[12]/Zeta[12]), 10, 100] // First]

%Y Cf. A266262, A266558.

%K nonn,cons

%O 0,2

%A _G. C. Greubel_, Apr 01 2016