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I am talking of the polynomials: $P_n(x)$ = $1+x..+x^n/n!$

I've tested this for the first 10 values and it seems so. I know this might be random but I've got a hunch that there's something deeper here.

For prime $n$ this follows from Eisenstein's principle, but I don't have much progress on other values.

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  • $\begingroup$ @JohnMachacek Thanks! I couldn't find it when looking :( $\endgroup$
    – user51556
    Commented Jun 4, 2016 at 10:37
  • $\begingroup$ And I also posted this on MO instead of ME, sorry! $\endgroup$
    – user51556
    Commented Jun 4, 2016 at 10:39

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