The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A258024

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A258024

Natural numbers n such that the iteration of the function floor(tan(k)) applied to n eventually reaches [the fixed point] 1 (or any larger integer if such fixed points exist), where k is interpreted as k radians.
(history; published version)

#74 by N. J. A. Sloane at Mon Feb 04 14:23:58 EST 2019

STATUS

editing

approved

#73 by N. J. A. Sloane at Mon Feb 04 14:23:56 EST 2019

COMMENTS

According to J. K. _Jan Kristian Haugland _ (cf. link): It is an open problem whether (tan n) > n for infinitely many n, although it has been proved that |tan n| > n for infinitely many n. - Daniel Forgues, May 27 2015

LINKS

J. K. Jan Kristian Haugland, <a href="http://sci.tech-archive.net/Archive/sci.math/2007-03/msg00666.html">Re: analysis with tan n > n</a>

STATUS

approved

editing

#72 by N. J. A. Sloane at Tue Feb 09 15:18:11 EST 2016

STATUS

editing

approved

#71 by N. J. A. Sloane at Tue Feb 09 15:18:08 EST 2016

COMMENTS

It is stated in the Comments of in A000503 that in Floor(tan(n)) "Every integer appears infinitely often. - Charles R Greathouse IV, Aug 06 2012".

STATUS

approved

editing

#70 by Bruno Berselli at Mon Jun 15 04:09:51 EDT 2015

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proposed

approved

#69 by Jon E. Schoenfield at Sun Jun 14 19:15:21 EDT 2015

STATUS

editing

proposed

#68 by Jon E. Schoenfield at Sun Jun 14 19:15:19 EDT 2015

COMMENTS

According to J. K. Haugland (cf. link): It is an open problem whether (tan n) > n for infinitely many n, although it has been proved that |tan n| > n for infinitely many n. - _Daniel Forgues_, May 27 2015

(tan n) > n for infinitely many n, although it has been proved that

|tan n| > n for infinitely many n. - Daniel Forgues, May 27 2015

STATUS

approved

editing

#67 by N. J. A. Sloane at Thu Jun 11 08:26:43 EDT 2015

STATUS

proposed

approved

#66 by Antti Karttunen at Thu Jun 11 01:38:18 EDT 2015

STATUS

editing

proposed

#65 by Antti Karttunen at Thu Jun 11 01:38:09 EDT 2015

CROSSREFS

Cf. A258200 (first differences produce an interesting rhythm).

STATUS

proposed

editing