degrees of varieties K(2,n)^m / Chebyshev polynomials

[Ralf Stephan]

The author expects me to look further into quantum cohomology, of
all things. From the online paper the conjectures boil down to that

                                  prod(k<j,j-k+(n_j-n_k)(2+p)
a(p) = (-1)^(3q)*(2p+pq+2q)!*sum(------------------------------)
                                 prod(j=1..m,(p+j+n_j(2+p)-1)!)

where q={2,4}, and the sum is over all n_1+...+n_m=q, is expressible in
Chebyshev polynomial expansions.

Any takers for that?  I'll only update the entry.
ralf