  We give explicit formulas for the multipoint series of Gromov-Witten
invariants of CP^1. We use the recursions of the Toda hierarchy to calculate
these in degree 0, and the Toda equation and the degree 0 formulas to extend
the calculation to higher degrees.
  We also obtain formulas for the Hodge series for the Hodge classes lambda_g
and lambda_{g-1}.
