Let m[lambda] be the monomial symmetric functions in the

negative shift operators A[1],A[2],A[3], in the discrete variables a1,a2,a3 

    respectively,

                     corresponding to the partition lambda



                          The recurrence satisfied by

       /  2             2\a1 /  2             2\a2 /  2             2\a3
       |x1  + x1 x2 + x2 |   |x1  + x1 x3 + x3 |   |x2  + x2 x3 + x3 |
       |-----------------|   |-----------------|   |-----------------|
       |         2       |   |         2       |   |         2       |
       \       x3        /   \       x2        /   \       x1        /

                       and hence by its constant terms is

-4/3 m[1, 2, 3] + 1/6 - 17/6 m[2, 3, 3] + 5/2 m[2, 3, 4] - 11/6 m[1, 1, 1]

     + m[2, 2] - 1/3 m[2, 2, 2] + 3 m[3, 3, 4] + 1/2 m[2, 2, 4]

     + 25/6 m[1, 2, 2] - 41/6 m[2, 2, 3] + 1/2 m[1, 4, 4] + 1/6 m[4, 4]

     + 1/3 m[1, 3, 4] - 17/6 m[1, 3, 3] - 2/3 m[3, 3] + 3/2 m[2, 4, 4]

     + 6 m[3, 3, 3] - 2/3 m[1, 1] + 5/3 m[1, 1, 2]

                                ---------------

                          This took, 10.619, seconds