sequence of ellipticK/Pi.

Fri Jul 3 02:28:59 CEST 1998

With GFUN , I could 'pop' out this formula :

                                              x + 1
                              LegendreP(-1/2, -----)
                                              1 - x
                          1/2 ----------------------
                                           1/2
                                    (1 - x)

for the sequence : 
[1/2, 1/8, 9/64, 75/256, 3675/4096, 59535/16384, 2401245/131072,
 57972915/524288, 13043905875/16777216, 418854310875/67108864,
 30241281245175/536870912, 1212400457192925/2147483648]

Simon Plouffe