19 Feb
2014
19 Feb
'14
7:12 p.m.
On Wed, Feb 19, 2014 at 7:34 PM, Dan Asimov <dasimov@earthlink.net> wrote:
Has anyone seen the expansion of π to inverse-factorial base?
More precisely, I'd like to know the first N coefficients c_n of
oo π-3 = Sum c_k / k! k=1
where 0 <= c_k < k, for N not too small.
Even better, does anyone know a nice algorithm for computing this inverse-factorial base expansion of a real number that avoids over/underflow (without using arbitrary-precision arithmetic)?
--Dan
It is easy to compute, with arbitrary precision arithmetic, but I don't know how without that. See OEIS: http://oeis.org/A007514