I am trying to fully expand the following $$\sum_{n=0}^{\infty} \frac{q^{\frac{n(n+1)}{2}}}{(q;q)_n}$$ Which when expressed in Mathematic is: q^(n*(n + 1)/2)/QPochhammer[q, q, n]
I would like to be able to fully expand this series into individual powers of q. This should be a power series, with integer coefficients for each power. How can I get the fully expanded power series? Ultimately, I would like to obtain a list of all the coefficients. Your help will go along way.
Thanks
q^(n(n+1)/2)/QPochhammer[q, q, n]
$\endgroup$q^55
, that is easy. $\endgroup$