In this paper we obtain a recursive formula for the shuffle product and apply
it to derive two restricted decomposition formulas for multiple zeta values
(MZVs). The first formula generalizes the decomposition formula of Euler and is
similar to the restricted formula of Eie and Wei for MZVs with one strings of
1's. The second formula generalizes the previous results to the product of two
MZVs with one and two strings of 1's respectively.Comment: 11 page