[seqfan] Re: Could someone check for exactness this Pi formula ?

[Simon Plouffe]

The expression is


                           Pi   1314
                 9/7 exp(1)   + ---- - 8 ln(3) - ln(2) + 45 gamma
                                 49
                 ------------------------------------------------
                                  1/2       1/2
                              76 3    - 83 2    + 9


pi     =3.141592653589793238462643383279502884197169399375105820974944592...
approx =3.141592653589733976001939718486017896131413752584871326406957367...

the difference is : 0.592624607036647934849880657e-13

nice approximation.

Simon Plouffe