  We have calculated the large-q expansion for the energy cumulants at the
phase transition point in the two-dimensional q-state Potts model to the 23rd
order in $1/\sqrt{q}$ using the finite lattice method. The obtained series
allow us to give very precise estimates of the cumulants for $q>4$ on the first
order transition point. The result confirm us the correctness of the conjecture
by Bhattacharya et al. on the asymptotic behavior of the cumulants for $q \to
4_+$.
