Programming Exercise (HP-15C, 15C LE - and others)

[Thomas Klemm]

(03-23-2014 01:49 PM)Gerson W. Barbosa Wrote:  P.S.: Well, not item (b) of the exercise anymore, but if all we want is just computing the sum of the first ten thousand terms of the series then we can do it in one tenth of a second (one TICK) and eleven steps at most (LBL and END included), using information available in this thread. The result will be accurate to 20 digits in double precision mode.

A proof can be found here:
Pi, Euler Numbers, and Asymptotic Expansions
Author(s): J. M. Borwein, P. B. Borwein, K. Dilcher

Cheers
Thomas