A082964 - OEIS

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A082964

a(n) = m given by arctan(tan(n)) = n - m*Pi.

0, 1, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 7, 7, 7, 8, 8, 8, 9, 9, 9, 10, 10, 10, 11, 11, 11, 11, 12, 12, 12, 13, 13, 13, 14, 14, 14, 15, 15, 15, 16, 16, 16, 17, 17, 17, 18, 18, 18, 18, 19, 19, 19, 20, 20, 20, 21, 21, 21, 22, 22, 22, 23, 23, 23, 24, 24, 24, 25, 25, 25 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,5`
	LINKS	`X. Gordon, Mathematical Constants and Computations` `Cino Hilliard, Qfloat BCX arctan(tan(-3)) etc`
	EXAMPLE	`For n = 11 a(n) = (arctan(tan(11))-11)/Pi = -4` `For n = 12 a(n) = (arctan(tan(12))-12)/Pi = -4` `For n = 13 a(n) = (arctan(tan(13))-13)/Pi = -4` `For n = 14 a(n) = (arctan(tan(14))-14)/Pi = -4`
	PROG	`(PARI) \ Arctangent numbers atnnumbers(n) = { for(x=1, n, m=(atan(tan(x))-x)/Pi; print1(floor(abs(m)+.5)" ") ) }`
	CROSSREFS	`Sequence in context: A137214 A081832 A034887 * A099741 A047743 A062299` `Adjacent sequences: A082961 A082962 A082963 * A082965 A082966 A082967`
	KEYWORD	`easy,nonn`
	AUTHOR	`Cino Hilliard (hillcino368(AT)gmail.com), May 27 2003`

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Last modified February 17 00:09 EST 2012. Contains 205978 sequences.