The acceleration formula for Zeta(, 5, ) is


                            2                     3
    1        (3 x + 5) (12 x  + 39 x + 32) (x + 1)
[--------, [[--------------------------------------,
        5                                 5
 (z + 1)            32 (5 x + 4) (2 x + 3)

            5         4         3         2                        3
      (310 x  + 1914 x  + 4557 x  + 5180 x  + 2785 x + 568) (x + 1)
    - --------------------------------------------------------------,
                                                    5
                    32 (5 x + 4) (3 + 5 x) (2 x + 3)

          6         5         4         3         2                        3
    (465 x  + 2995 x  + 7638 x  + 9771 x  + 6556 x  + 2186 x + 283) (x + 1)
    ------------------------------------------------------------------------, -
                                                       5
                       32 (2 + 5 x) (3 + 5 x) (2 x + 3)

            8           7            6            5            4            3
    (73625 x  + 525650 x  + 1553145 x  + 2464536 x  + 2285205 x  + 1263475 x

               2                          4   /
     + 405060 x  + 68390 x + 4616) (x + 1)   /  (160 (1 + 5 x) (2 + 5 x)
                                            /

                                              2                     3
                                 5     3 (23 x  + 76 x + 63) (x + 1)
    (3 + 5 x) (5 x + 4) (2 x + 3) )], [------------------------------,
                                                                5
                                          32 (5 x + 4) (2 x + 3)

            4         3         2                        3
      (570 x  + 2600 x  + 4172 x  + 2749 x + 637) (x + 1)
    - ----------------------------------------------------,
                                               5
               32 (5 x + 4) (3 + 5 x) (2 x + 3)

          5         4         3         2                        3
    (815 x  + 3935 x  + 7015 x  + 5708 x  + 2141 x + 298) (x + 1)             7
    --------------------------------------------------------------, - (24000 x
                                                  5
                  32 (2 + 5 x) (3 + 5 x) (2 x + 3)

               6           5           4           3          2
     + 132625 x  + 291175 x  + 327920 x  + 204853 x  + 70907 x  + 12532 x + 868

             4   /                                                      5
    ) (x + 1)   /  (32 (1 + 5 x) (2 + 5 x) (3 + 5 x) (5 x + 4) (2 x + 3) )], [
               /

                         3           3         2                       3
     15 (3 x + 5) (x + 1)      (355 x  + 1039 x  + 893 x + 239) (x + 1)
    -----------------------, - -----------------------------------------,
                          5                                        5
    32 (5 x + 4) (2 x + 3)         32 (5 x + 4) (3 + 5 x) (2 x + 3)

          4         3         2                       3
    (480 x  + 1535 x  + 1614 x  + 693 x + 104) (x + 1)
    ---------------------------------------------------, -
                                             5
             32 (2 + 5 x) (3 + 5 x) (2 x + 3)

            6          5          4          3          2
    (12875 x  + 50225 x  + 73870 x  + 53354 x  + 20020 x  + 3686 x + 260)

           4   /                                                      5
    (x + 1)   /  (32 (1 + 5 x) (2 + 5 x) (3 + 5 x) (5 x + 4) (2 x + 3) )], [
             /

                   3                               3
          5 (x + 1)             5 (3 x + 2) (x + 1)
    -----------------------, - -----------------------,
                          5                          5
    16 (5 x + 4) (2 x + 3)     32 (5 x + 4) (2 x + 3)

         2                    3                   2                    4
    (19 x  + 18 x + 4) (x + 1)     (3 x + 2) (15 x  + 12 x + 2) (x + 1)
    ---------------------------, - -------------------------------------]], [
                            5                                        5
      32 (2 + 5 x) (2 x + 3)         16 (2 + 5 x) (5 x + 4) (2 x + 3)

                    3       2                    4       3      2
     41 x + 33   5 x  + 22 x  + 27 x + 10    15 x  + 30 x  - 2 x  - 30 x - 13
    -----------, ------------------------, - --------------------------------,
    8 (5 x + 4)   16 (5 x + 4) (3 + 5 x)          32 (2 + 5 x) (3 + 5 x)

           7         6          5          4          3          2
    (2375 x  + 8775 x  + 14270 x  + 16586 x  + 17319 x  + 13311 x  + 5684 x

     + 976)/(160 (1 + 5 x) (2 + 5 x) (3 + 5 x) (5 x + 4))], 0.0004349673298]

                         The error in using 30 terms is

0.13266857703099894443058632192714554688915305699356137063613466179426018456\

                             -103
    3518463157978365299163 10