This site is supported by donations to The OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A091812 Decimal expansion of sum(k>0,(-1)^k*log(k)/k). 3
 1, 5, 9, 8, 6, 8, 9, 0, 3, 7, 4, 2, 4, 3, 0, 9, 7, 1, 7, 5, 6, 9, 4, 7, 8, 7, 0, 3, 2, 4, 9, 1, 6, 5, 7, 0, 4, 9, 6, 2, 2, 2, 0, 2, 3, 7, 5, 6, 4, 5, 8, 7, 4, 2, 6, 7, 0, 8, 2, 4, 5, 2, 9, 6, 3, 9, 6, 5, 7, 0, 0, 2, 1, 8, 4, 0, 2, 9, 0, 0, 4, 6, 5, 9, 5, 5, 5, 0, 3, 4, 0, 3, 2, 0, 4, 6, 1, 8, 8, 2, 9, 4, 6, 3 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Equal to the derivative eta'(1) of the Dirichlet eta function eta(s) = sum(k>0, (-1)^(k-1)/k^s) = (1 - 2^(1-s))*zeta(s) at s = 1. - Jonathan Sondow, Dec 28 2011. LINKS FORMULA Decimal expansion of sum(k>0, (-1)^k*log(k)/k) = gamma*log(2)-log(2)^2/2. EXAMPLE 0.15986890374243097175694787032491657049622202375645874267082452963965... PROG (PARI) Euler*log(2)-log(2)^2/2 \\ Charles R Greathouse IV, Mar 28, 2012 CROSSREFS Cf. A265162. Sequence in context: A247747 A308577 A217249 * A112678 A021171 A011493 Adjacent sequences:  A091809 A091810 A091811 * A091813 A091814 A091815 KEYWORD cons,nonn AUTHOR Benoit Cloitre, Mar 07 2004 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified October 20 10:00 EDT 2019. Contains 328257 sequences. (Running on oeis4.)