A246441 Nonnegative integers k satisfying cos(k) < sec(k+1).

0, 4, 5, 6, 10, 11, 12, 13, 17, 18, 19, 23, 24, 25, 29, 30, 31, 36, 37, 38, 42, 43, 44, 48, 49, 50, 54, 55, 56, 57, 61, 62, 63, 67, 68, 69, 73, 74, 75, 80, 81, 82, 86, 87, 88, 92, 93, 94, 98, 99, 100, 101, 105, 106, 107, 111, 112, 113, 117, 118, 119, 124

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), [0..200]) \\ Edward Jiang, Sep 01 2014

Crossrefs

Cf. A246440.

Sequence in context: A028280 A120520 A213523 * A026312 A070751 A047258

Adjacent sequences: A246438 A246439 A246440 * A246442 A246443 A246444

Keyword

nonn,easy

Author

Clark Kimberling, Aug 26 2014

Status

approved