This site is supported by donations to The OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A059457 Numerator of Sum_{k=0..n} (-1)^k/(3*k+1). 2
 1, 3, 25, 111, 1583, 5877, 118943, 1239213, 6500369, 6228669, 200696339, 3293919963, 125884243831, 122175729021, 5401896940303, 121054306890369, 868338554787383, 848589287072283, 867261322002923, 24637097377492167 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS G. C. Greubel, Table of n, a(n) for n = 0..1000 FORMULA Sum_{k>=0} (-1)^k/(3*k+1) = (log(2)*sqrt(3) + Pi)/(3*sqrt(3)). MATHEMATICA Table[Numerator[Sum[(-1)^k/(3*k + 1), {k, 0, n}]], {n, 0, 50}] (* G. C. Greubel, Oct 04 2017 *) PROG (PARI) a(n)=numerator(sum(k=0, n, (-1)^k/(3*k+1))) CROSSREFS For denominators see A051536. Sequence in context: A124245 A166899 A201534 * A165206 A095664 A215773 Adjacent sequences:  A059454 A059455 A059456 * A059458 A059459 A059460 KEYWORD frac,nonn AUTHOR Benoit Cloitre, Oct 19 2002 EXTENSIONS Corrected by T. D. Noe, Oct 25 2006 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 May 19 05:05 EDT 2019. Contains 323377 sequences. (Running on oeis4.)