A026313 Numbers k such that |sin(k)*sin(k+2)| < (sin(k+1))^2.

0, 1, 3, 4, 6, 7, 10, 13, 14, 16, 17, 19, 20, 22, 23, 25, 26, 28, 29, 32, 35, 36, 38, 39, 41, 42, 44, 45, 47, 48, 50, 51, 54, 57, 58, 60, 61, 63, 64, 66, 67, 69, 70, 72, 73, 76, 79, 80, 82, 83, 85, 86, 88, 89, 91, 92, 94, 95, 98, 101, 102, 104, 105, 107, 108, 110, 111, 113, 114

Offset

1,3

Links

Chris R. Rehmann, Table of n, a(n) for n = 1..10000

Mathematica

Select[Range[0, 120], Abs[Sin[ # ]*Sin[ # + 2]] < Sin[ # + 1]^2 &] (* Stefan Steinerberger, Apr 12 2006 *)

Prog

(MATLAB) kmax = 16831; k = 0:kmax; a = k(abs(sin(k).*sin(k+2))<sin(k+1).^2); % Chris R. Rehmann, Feb 21 2026

Crossrefs

Cf. A117672.

Sequence in context: A239438 A317138 A032387 * A024912 A108588 A194095

Adjacent sequences: A026310 A026311 A026312 * A026314 A026315 A026316

Keyword

nonn

Author

Clark Kimberling

Extensions

More terms from Stefan Steinerberger, Apr 12 2006

Missing a(1)=0 inserted by Sean A. Irvine, Sep 25 2019

Status

approved