The acceleration formula for Zeta(, 3, ) is


                                3          2                    3
    1          (3 x + 5) (x + 1)       (7 x  + 14 x + 4) (x + 1)
[--------, [[----------------------, - --------------------------],
        3                         3                           3
 (z + 1)     8 (3 x + 2) (2 x + 3)      12 (3 x + 1) (2 x + 3)

                   3                    3                       2
            (x + 1)              (x + 1)         27 x + 19   2 x  + 13 x + 11
    [----------------------, - ------------]], [-----------, ----------------],
                          3               3     8 (3 x + 2)    24 (3 x + 1)
     4 (3 x + 2) (2 x + 3)     8 (2 x + 3)

    0.003007032652]

                         The error in using 30 terms is

0.87857980050610299676016105496943487230153930782157291137022258938248182246\

                                                      -78
    32468714388951845892851385945823302809066068764 10