problems = {HoldForm[GeneratingFunction[ChebyshevU[n, a], n, z]],
HoldForm[GeneratingFunction[Mod[n, 7], n, z]],
HoldForm[GeneratingFunction[f[n + 1], n, z]],
HoldForm[GeneratingFunction[Binomial[m, n], {m, n}, {u, v}]],
HoldForm[ExponentialGeneratingFunction[BernoulliB[n], n, z]],
HoldForm[ExponentialGeneratingFunction[n^2 + 2, n, z]],
HoldForm[ExponentialGeneratingFunction[Sin[a n], n, z]],
HoldForm[
ExponentialGeneratingFunction[m/(n + 1), {m, n}, {u, v}]]};