the sequence A006743
Thomas Baruchel
baruchel at bluebottle.com
Mon Oct 17 21:00:41 CEST 2005
On Lun, oct 17, 2005 at 11:14:13 -0700, Marc LeBrun wrote:
> My apologies if I'm just restating the obvious (I'm not very adept with
> Pade approximations), but the generating function for any linear recurrence
> is always a rational function whose denominator coefficients are those of
> the recurrence and whose numerator coefficients reflect the initial values,
> right?
This is indeed the point, but what is interesting to notice is that
this generating function is a Padé approximant of the Mc Laurin serie.
(I think this statement is stronger).
Regards,
--
Thomas Baruchel
Home Page: http://baruchel.free.fr/~thomas/
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