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Re: How to find pattern with Mathematica?

• To: mathgroup at smc.vnet.net
• Subject: [mg104075] Re: How to find pattern with Mathematica?
• From: Raffy <raffy at mac.com>
• Date: Sun, 18 Oct 2009 05:22:50 -0400 (EDT)
• References: <hb9jrr$j3$1@smc.vnet.net>

On Oct 16, 4:02 am, barefoot gigantor <barefoot1... at gmail.com> wrote:
> What is the pattern in the following polynom: (how to generate them)
>
> 1:     12 n^2 + 12 n + 1
>
> 2:    300 n^3 + 450 n^2 + 160 n + 5
>
> 3:   840 n^4+1680 n^3+1030 n^2+190 n+3
>
> 4:  1260 n^5+3150 n^4+2730 n^3+945 n^2+107 n+1
>
> 5:  27720 n^6+83160 n^5+93030 n^4+47460 n^3+10689 n^2+819 n+5

In #4, 107 is prime, so I'll guess it's probably 2+ polynomials
combined.  Do you have any more information?