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Re: May we trust IntegerQ ?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg107509] Re: [mg107488] May we trust IntegerQ ?
  • From: Andrzej Kozlowski <akoz at mimuw.edu.pl>
  • Date: Mon, 15 Feb 2010 05:47:21 -0500 (EST)
  • References: <201002141316.IAA02260@smc.vnet.net>

On 14 Feb 2010, at 14:16, Artur wrote:

> Procedure: find such x that ChebyshevT[x/2, x] isn't integer
> aa = {}; Do[ If[IntegerQ[ChebyshevT[x/2, x]], , AppendTo[aa, x]], {x, 0, 
> 20}]; aa
> and answer Mathematica is set:
> {3, 5, 7, 9, 11, 13, 15, 17, 19}
> where occered e.g. number 7
> N[ChebyshevT[7/2, 7],100]
> 5042.00000000000000000000000000000000000000000000000000000000000000000\
> 0000000000000000000000000000000
> evidently is integer 5042
> Some comments ?
> 
> Best wishes
> Artur
> 
> 
> 
> 

FunctionExpand[ChebyshevT[7/2, 7]]

5042

so it definitely is an integer.

Andrzej Kozlowski


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