

A140276


Floor of the (firstquadrant) angle in degrees whose tangent is n.


2



0, 45, 63, 71, 75, 78, 80, 81, 82, 83, 84, 84, 85, 85, 85, 86, 86, 86, 86, 86, 87, 87, 87, 87, 87, 87, 87, 87, 87, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89
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OFFSET

0,2


COMMENTS

180*atan(n)/Pi is an exact integer only for n = 0 and n = 1 (and n = 1). a(n) = 89 for n >= 58.


LINKS

Table of n, a(n) for n=0..69.


FORMULA

For all integers n, a(n) = floor(180*atan(n)/Pi) = A140278(n), where a negative term represents a fourthquadrant angle. Terms shown are only for n >= 0.


EXAMPLE

a(1) = 45 degrees as that is the firstquadrant angle with tan(45 deg) = 1. a(2) = 63 degrees as 180*atan(2)/Pi = 63.4349... and floor(63.4349...) = 63.


PROG

(PARI) a(n) = floor(180*atan(n)/Pi)


CROSSREFS

Cf. A140277, A140278.
Sequence in context: A179007 A138046 A324367 * A140277 A242263 A242264
Adjacent sequences: A140273 A140274 A140275 * A140277 A140278 A140279


KEYWORD

nonn


AUTHOR

Rick L. Shepherd, May 16 2008


STATUS

approved



