[seqfan] Re: Can a sequence that is not a linear recurrence with constant coefficients be such mod every prime p (possibly with different coefficients)?

[Georgi Guninski]

On Thu, Feb 03, 2011 at 04:56:35PM +0100, allouche at math.jussieu.fr wrote:
> 
> 
> Am I mistaken if I give n! as an example?
> jp
> 
> 

thank you. your example recurrence seems of unbounded order mod p.

is it possible the order of the recurrence mod p to be bounded?

> Georgi Guninski <guninski at guninski.com> a écrit :
> 
> >Please try to excuse my ignorance.
> >
> >Can a sequence that is not a linear recurrence with constant
> >coefficients be such mod every prime p (possibly with different
> >coefficients for different primes)?
> >
> >What about nonlinear recurrences?
> >
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