[seqfan] Re: A112194, McKay-Thompson series

Neil Sloane njasloane at gmail.com
Tue Jul 21 23:56:19 CEST 2015


William, your g.f. is almost certainly correct, but to be safe,
you should  "The g.f. appears to be ... " to that entry (please!)

The Ford et al 1994 paper is on the list of things to be scanned
and uploaded to the OEIS this summer

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 Tue, Jul 21, 2015 at 3:16 PM, William Keith <william.keith at gmail.com>
wrote:

> Sequence fans:
>
>      Does anyone have any expertise with this subject?  Sequence A112194
> appears to have generating function \prod_{3 \nmid k} (1+q^k+q^{2k}) ,
> i.e., it is the generating function of partitions into parts not divisible
> by 3 which may appear fewer than three times.  (The actual series T54c
> appears to be this as a function of q^6 instead of q, multiplied by 1/q.)
> This is probably well known among people who study the Monster group, but I
> am not one of them.
>
> Cordially,
> William Keith
>
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