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Re: Find (cyclic) Sequence

  • To: mathgroup at smc.vnet.net
  • Subject: [mg109344] Re: Find (cyclic) Sequence
  • From: Albert Retey <awnl at gmx-topmail.de>
  • Date: Thu, 22 Apr 2010 06:44:02 -0400 (EDT)
  • References: <hqou0k$9fp$1@smc.vnet.net>

Hi,

> Consider the following sequence {0,3,2,1} which can be related to the
> reference k: {0,1,2,3} as 4-k (mod 4).
> 
> I've tried to use FindSequenceFunction on problems like the example
> above without success.
> I understand I'm working within the context of modular arithmetic...
> Does anyone have a suggestion on how to use Mathematica to tackle this
> problem?

I think you would just need to repeat your sequence to make Mathematica
understand, obviously the task for FindSequenceFunction is a easier when
the sequences you feed it are longer:

FindSequenceFunction[{0, 4, 3, 2, 1, 0, 4, 3, 2, 1}]

gives:

Mod[1 + 4 #1, 5] &


hth,

albert


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