[seqfan] Re: Floor[Tan[n]]

Neil Sloane njasloane at gmail.com
Wed Sep 3 09:18:33 CEST 2014


well, tan(n) = tan(n +2Pi), right?

and as n varies, n mod 2Pi will be dense in 0 to Pi

On Wed, Sep 3, 2014 at 3:00 AM, Veikko Pohjola <veikko at nordem.fi> wrote:
> Dear seqfans,
>
> It is obvious that Tan[x] covers all real numbers (I guess). It may be obvious that Floor[Tan[x]] covers all natural numbers. But it is pretty far from obvious, to me, that even Floor[Tan[n]], where n is an integer from zero to infinity, would also cover all natural numbers.
>
> Is it this last statement above, what is meant by the comment ”Evey integer appears infinitely often.”, which appears in A000503? If it is, could and shouldn’t it be provided with a justification in the case of being a conjecture, or with a proof in he case of being a postulate?
>
> Veikko
>
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>
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-- 
Dear Friends, I have now retired from AT&T. New coordinates:

Neil J. A. Sloane, President, OEIS Foundation
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