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.

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

Offset: 0

Author

R. J. Mathar, Sep 15 2013

Keywords

• nonn
• cons

Examples

			-0.91624014984429583053480927562573338...
		

Links

• G. C. Greubel, Table of n, a(n) for n = 0..2500
• D. Zagier, A Kronecker limit formula for real quadratic fields, Mathem. Ann. 213 (2) (1975) 153-184, value of F(1), equation (7.12).

Programs

Mathematica

RealDigits[N[EulerGamma^2/2 + Pi^2/12 + StieltjesGamma[1], 2501]][[1]] (* G. C. Greubel, Dec 26 2016 *)

PARI

intnum(y=0, 1, (1/(1-y)+1/log(y)) *log(1-y) /y) \\ Michel Marcus, Dec 26 2016

Formula

Equals A155969/2 + A072691 + A082633.