A088306 - OEIS

This site is supported by donations to The OEIS Foundation.

A088306

Positive integers n with |tan n| > n.

1, 2, 11, 33, 52174, 260515, 573204 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,2`
	COMMENTS	`That this sequence is infinite was proved by Bellamy, Lagarias and Lazebnik. It seems not to be known whether there are infinitely many n with tan n > n.` `Next term is greater than 10^7. - Ryan Propper (rpropper(AT)stanford.edu), Sep 04 2005` `Comment from Phil Carmody (pc+oeis(AT)asdf.org), Mar 04 2007: (Start) The following n, tan(n) pairs are in the sequence, but I make no claim that there are no others in between.` `37362253 37754853.361` `42781604 -85369290.412` `122925461 326900723.479` `534483448 1914547468.536` `3083975227 13356993783.764` `902209779836 1893164438251.901` `2685575996367 -5926554327084.648` `65398140378926 -68524021915772.619` `74357078147863 134654932852015.499` `214112296674652 3855691461342749.077` `5920787228742393 -6082806669126598.307` `At approximately 2.37e154, there is a value of n which has tan(n)/n > 556. (End)`
	LINKS	`D. Bellamy, J. C. Lagarias and F. Lazebnik, Proposed problem: large values of Tan n`
	MAPLE	`a:=proc(n) if abs(evalf(tan(n)))>n then n else fi end: seq(a(n), n=1..100000); (E. Deutsch)`
	CROSSREFS	`Cf. A000503.` `Sequence in context: A034427 A056368 A056359 * A100109 A026961 A026971` `Adjacent sequences: A088303 A088304 A088305 * A088307 A088308 A088309`
	KEYWORD	`hard,nonn`
	AUTHOR	`Paul Boddington (psb(AT)maths.warwick.ac.uk), Nov 05 2003`

Content is available under The OEIS End-User License Agreement .

Last modified February 13 09:25 EST 2012. Contains 205451 sequences.