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

0,1

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).

Formula

Equals A155969/2 + A072691 + A082633.

Example

-0.91624014984429583053480927562573338...

Mathematica

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

Prog

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

Crossrefs

Sequence in context: A090656 A058284 A198361 * A016579 A154011 A176519

Adjacent sequences: A229153 A229154 A229155 * A229157 A229158 A229159

Keyword

nonn,cons

Author

R. J. Mathar, Sep 15 2013

Status

approved