A271178 - OEIS

%I #19 Apr 02 2016 06:35:41

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

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

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

%N Decimal expansion of the logarithm of the generalized Glaisher-Kinkelin constant A(17).

%C The logarithm of the seventeenth Bendersky constant.

%H G. C. Greubel, <a href="/A271178/b271178.txt">Table of n, a(n) for n = 1..2001</a>

%F log(A(17)) = (1/18)*HarmonicNumber(17)*Bernoulli(18) - RiemannZeta'(-17).

%F log(A(17)) = (Bernoulli(18)/18)*(EulerGamma + log(2*Pi) - Zeta'(18)/Zeta(18)).

%e 7.3755909885860989002266551801563660035951328874...

%t RealDigits[(BernoulliB[18]/18)*(EulerGamma + Log[2*Pi] - Zeta'[18]/Zeta[18]), 10, 100][[1]]

%Y Cf. A266272, A266564.

%K nonn,cons

%O 1,1

%A _G. C. Greubel_, Apr 01 2016