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Decimal expansion of the logarithm of the generalized Glaisher-Kinkelin constant A(9).
1

%I #14 Apr 02 2016 08:59:00

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

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

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

%N Decimal expansion of the logarithm of the generalized Glaisher-Kinkelin constant A(9).

%C The logarithm of the ninth Bendersky constant.

%H G. C. Greubel, <a href="/A271174/b271174.txt">Table of n, a(n) for n = 0..2000</a>

%F log(A(9)) = (1/10)*HarmonicNumber(9)*Bernoulli(10) - RiemannZeta'(-9).

%F log(A(9)) = (Bernoulli(10)/10)*(EulerGamma + log(2*Pi) - Zeta'(10)/Zeta(10).

%e 0.01830143236178910882275580939079223...

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

%Y Cf. A266260, A266556.

%K nonn,cons

%O 0,3

%A _G. C. Greubel_, Apr 01 2016