A246440 Nonnegative integers k satisfying cos(k) > sec(k+1).

1, 2, 3, 7, 8, 9, 14, 15, 16, 20, 21, 22, 26, 27, 28, 32, 33, 34, 35, 39, 40, 41, 45, 46, 47, 51, 52, 53, 58, 59, 60, 64, 65, 66, 70, 71, 72, 76, 77, 78, 79, 83, 84, 85, 89, 90, 91, 95, 96, 97, 102, 103, 104, 108, 109, 110, 114, 115, 116, 120, 121, 122, 123

Offset

1,2

Comments

k is taken in radians.

Also, the nonnegative integers k satisfying sin(k) > sec(k+1).

Links

Clark Kimberling, Table of n, a(n) for n = 1..1000

Mathematica

z = 200;
Select[Range[0, z], Cos[#] > Sec[# + 1] &] (* A246440 *)
Select[Range[0, z], Cos[#] < Sec[# + 1] &] (* A246441 *)

Prog

(PARI) select(n -> cos(n)>1/cos(n+1), [1..200]) \\ Edward Jiang, Sep 01 2014

Crossrefs

Cf. A246441 (complement of A246440).

Sequence in context: A026310 A253082 A123644 * A332699 A347153 A105266

Adjacent sequences: A246437 A246438 A246439 * A246441 A246442 A246443

Keyword

nonn,easy

Author

Clark Kimberling, Aug 26 2014

Status

approved