24-04E

We use high-temperature expansion series up to order 11 in the inverse temperature β = 1/T and the entropy method to calculate the magnetic specific heat c(T) and the magnetic uniform susceptibility χ(T) for the kagome-lattice Heisenberg antiferromagnet with spin S > 1/2. We complement these calculations by exact diagonalization and finite-temperature Lanczos method data for finite systems. We discuss how the temperature dependence of the specific heat varies as the spin quantum number S grows.