[seqfan] Re: A033791

Neil Sloane njasloane at gmail.com
Wed Oct 15 18:30:11 CEST 2014


theta_2 is the standard Jacobi theta-constant function,
Sum_{m=-oo..oo} q^((m+1/2)^2)
= 2*q^(1/4)*(1+q^2+q^6+q^12+q^20+...)

I'll add this to the entry

Neil

On Wed, Oct 15, 2014 at 12:23 PM, David Newman <davidsnewman at gmail.com>
wrote:

> I have a partition type sequence which matches A033791 for the first 40
> terms.  However, beyond the computational evidence I have no reason to
> think that the two are the same.  In fact, I'm guessing that they differ
> for n>63.  I am hampered in my efforts  in part because I don't know which
> function is meant by theta2.  Could someone give me the definition of
> theta2 or point me to a source for the definition?
>
> _______________________________________________
>
> Seqfan Mailing list - http://list.seqfan.eu/
>



-- 
Dear Friends, I have now retired from AT&T. New coordinates:

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


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