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

                              [1, 2], vs. , [1, 1]

                                  using WhoWon

[true, .14105, .42315]
                            Using Findrec and Asy:

                                                2              3
            n + 1     (4 n + 7) N   (5 n + 12) N    (3 n + 8) N
gu := [[- --------- + ----------- - ------------- + ------------
          8 (n + 4)    8 (n + 4)      8 (n + 4)      4 (n + 4)

                   4
       (3 n + 10) N     5                                  1          1/2
     - ------------- + N , [1/2, 1/4, 1/8, 1/8, 3/32], [-------, (1/n)
         2 (n + 4)                                          1/2
                                                        4 Pi

              1/2            1/2              1/2                1/2
       7 (1/n)      265 (1/n)      13165 (1/n)      3996699 (1/n)
     + ---------- + ------------ + -------------- + ----------------
          16 n              2               3                  4
                       512 n          8192 n           524288 n

                      1/2
       377801193 (1/n)
     + ------------------]], [
                    5
           8388608 n

                                       2            3            4
      n + 1        3 N      3 (n + 4) N    (n + 1) N    (n + 6) N     5
    --------- + --------- - ------------ - ---------- - ---------- + N ,
    8 (n + 5)   8 (n + 5)    8 (n + 5)     4 (n + 5)    2 (n + 5)

                                                            1/2            1/2
                                    3          1/2   5 (1/n)      169 (1/n)
    [1/2, 1/4, 1/4, 1/4, 3/16], [-------, (1/n)    + ---------- + ------------
                                     1/2                48 n              2
                                 4 Pi                                512 n

                  1/2                1/2                  1/2
       26615 (1/n)      2583259 (1/n)      242384345 (1/n)
     + -------------- + ---------------- + ------------------]]]
                 3                 4                    5
          24576 n          524288 n            8388608 n

                                          2              3               4
      n + 1     (4 n + 7) N   (5 n + 12) N    (3 n + 8) N    (3 n + 10) N     5
[[- --------- + ----------- - ------------- + ------------ - ------------- + N
    8 (n + 4)    8 (n + 4)      8 (n + 4)      4 (n + 4)       2 (n + 4)

                                                              1/2
                                      1          1/2   7 (1/n)
    , [1/2, 1/4, 1/8, 1/8, 3/32], [-------, (1/n)    + ----------
                                       1/2                16 n
                                   4 Pi

                1/2              1/2                1/2                  1/2
       265 (1/n)      13165 (1/n)      3996699 (1/n)      377801193 (1/n)
     + ------------ + -------------- + ---------------- + ------------------]],
               2               3                  4                    5
          512 n          8192 n           524288 n            8388608 n

                                        2            3            4
       n + 1        3 N      3 (n + 4) N    (n + 1) N    (n + 6) N     5
    [--------- + --------- - ------------ - ---------- - ---------- + N ,
     8 (n + 5)   8 (n + 5)    8 (n + 5)     4 (n + 5)    2 (n + 5)

                                                            1/2            1/2
                                    3          1/2   5 (1/n)      169 (1/n)
    [1/2, 1/4, 1/4, 1/4, 3/16], [-------, (1/n)    + ---------- + ------------
                                     1/2                48 n              2
                                 4 Pi                                512 n

                  1/2                1/2                  1/2
       26615 (1/n)      2583259 (1/n)      242384345 (1/n)
     + -------------- + ---------------- + ------------------]]]
                 3                 4                    5
          24576 n          524288 n            8388608 n

[[-1/8*(n+1)/(n+4)+1/8*(4*n+7)/(n+4)*N-1/8*(5*n+12)/(n+4)*N^2+1/4*(3*n+8)/(n+4)
*N^3-1/2*(3*n+10)/(n+4)*N^4+N^5, [1/2, 1/4, 1/8, 1/8, 3/32], [1/4/Pi^(1/2), (1/
n)^(1/2)+7/16/n*(1/n)^(1/2)+265/512/n^2*(1/n)^(1/2)+13165/8192/n^3*(1/n)^(1/2)+
3996699/524288/n^4*(1/n)^(1/2)+377801193/8388608/n^5*(1/n)^(1/2)]], [1/8*(n+1)/
(n+5)+3/8/(n+5)*N-3/8*(n+4)/(n+5)*N^2-1/4*(n+1)/(n+5)*N^3-1/2*(n+6)/(n+5)*N^4+N
^5, [1/2, 1/4, 1/4, 1/4, 3/16], [3/4/Pi^(1/2), (1/n)^(1/2)+5/48/n*(1/n)^(1/2)+
169/512/n^2*(1/n)^(1/2)+26615/24576/n^3*(1/n)^(1/2)+2583259/524288/n^4*(1/n)^(1
/2)+242384345/8388608/n^5*(1/n)^(1/2)]]]


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



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