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A229156 Decimal expansion of the negated value of the integral over (1/(1-y) + 1/log(y))*log(1-y)/y between 0 and 1. 1

%I #11 Dec 27 2016 02:36:16

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

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

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

%N Decimal expansion of the negated value of the integral over (1/(1-y) + 1/log(y))*log(1-y)/y between 0 and 1.

%H G. C. Greubel, <a href="/A229156/b229156.txt">Table of n, a(n) for n = 0..2500</a>

%H D. Zagier, <a href="http://dx.doi.org/10.1007/BF01343950">A Kronecker limit formula for real quadratic fields</a>, Mathem. Ann. 213 (2) (1975) 153-184, value of F(1), equation (7.12).

%F Equals A155969/2 + A072691 + A082633.

%e -0.91624014984429583053480927562573338...

%t RealDigits[N[EulerGamma^2/2 + Pi^2/12 + StieltjesGamma[1], 2501]][[1]] (* _G. C. Greubel_, Dec 26 2016 *)

%o (PARI) intnum(y=0, 1, (1/(1-y)+1/log(y)) *log(1-y) /y) \\ _Michel Marcus_, Dec 26 2016

%K nonn,cons

%O 0,1

%A _R. J. Mathar_, Sep 15 2013

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