[seqfan] A112194, McKay-Thompson series

William Keith william.keith at gmail.com
Tue Jul 21 21:16:28 CEST 2015

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.

William Keith

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