recently okounkov proved nekrasovs conjecture expressing the partition function of k-theoretic dt invariants of the hilbert scheme of points hilb($\mathbb c^3$, points) on affine 3-space as an explicit plethystic exponential. we generalise nekrasovs formula to higher rank, where the quot scheme of finite length quotients of the trivial rank $r$ bundle replaces hilb($\mathbb c^3$,points). this proves a conjecture of awata-kanno. specialising to cohomological invariants, we obtain the statement of szabos conjecture. we discuss some further applications if time permits. this is joint work with nadir fasola and sergej monavari.