[seqfan] Re: Wrong terms or wrong name in A046988?

Neil Sloane njasloane at gmail.com
Sat Mar 4 06:49:48 CET 2017


Vladimir, Thanks for noticing this error!

Yes, please break it up into two sequences - your suggestion, to
remove the first part of the name in A046988, and submit is as a new
sequence,
sounds like the best solution.

And add comments to both sequences saying something like "This is
easily confused with the very similar sequence A......"

About the initial 0, well, do what seems best!

Thanks!

Best regards
Neil

Neil J. A. Sloane, President, OEIS Foundation.
11 South Adelaide Avenue, Highland Park, NJ 08904, USA.
Also Visiting Scientist, Math. Dept., Rutgers University, Piscataway, NJ.
Phone: 732 828 6098; home page: http://NeilSloane.com
Email: njasloane at gmail.com



On Fri, Mar 3, 2017 at 6:21 PM, Vladimir Reshetnikov
<v.reshetnikov at gmail.com> wrote:
> Dear SeqFans,
>
> The name of the sequence A046988 contains two definitions: "Numerators of
> Taylor series expansion of log(x/sin(x)). For n>0, numerators of
> zeta(2*n)/Pi^(2*n)."
>
> Presumably, it was intended that these definitions are consistent. But they
> are not.
>
> The first definition results in the sequence: 1, 1, 1, 1, 1, 691, 2, 3617,
> 43867, 174611, 155366, 236364091, 1315862, 3392780147, 6892673020804,
> 7709321041217, 151628697551, 26315271553053477373, 308420411983322,
> 261082718496449122051, 3040195287836141605382, 2530297234481911294093, ...
>
> And the second: 1, 1, 1, 1, 1, 691, 2, 3617, 43867, 174611, 155366,
> 236364091,  1315862, 6785560294, 6892673020804, 7709321041217,
> 151628697551,  26315271553053477373, 308420411983322,
> 261082718496449122051,  3040195287836141605382, 5060594468963822588186, ...
>
> These sequences are similar, but disagree at indexes 14, 22, 26, 28, 30,
> 38, 42, 44, 46, 50, 52, 54, 56, 58, 60, 62, 70,  74, 76, 78, 82, 84, 86,
> 88, 90, 92, 94, 98, 100, ...
>
> The terms listed in A046988 agree with the second definition. Should we
> remove the first part of the name in A046988, and submit is as a new
> sequence? What should we do with the leading 0 term?
>
> --
> Thanks
> Vladimir
>
> --
> Seqfan Mailing list - http://list.seqfan.eu/



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