A246297 Numbers k such that sin(k) > sin(k+1) < sin(k+2).

4, 10, 16, 23, 29, 35, 41, 48, 54, 60, 67, 73, 79, 85, 92, 98, 104, 111, 117, 123, 129, 136, 142, 148, 155, 161, 167, 173, 180, 186, 192, 198, 205, 211, 217, 224, 230, 236, 242, 249, 255, 261, 268, 274, 280, 286, 293, 299, 305, 312, 318, 324, 330, 337, 343

Offset: 1

Author

Clark Kimberling, Aug 21 2014

Keywords

• nonn
• easy

Comments

The sequences A026309, A246297, A246298, A246299 partition the nonnegative integers.

Numbers like 20, 64, 108, 152,... are in none of these 4 sequences. - R. J. Mathar, May 18 2020

Links

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

Crossrefs

Cf. A026309, A246298, A246299, A246293 (complement of A026309).

Programs

Mathematica

z = 500; f[x_] := f[x] = Sin[x]; t = Range[0, z];
Select[t, f[#] < f[# + 1] &]  (* A026309 *)
Select[t, f[#] > f[# + 1] < f[# + 2] &]  (* A246297 *)
Select[t, f[#] > f[# + 1] > f[# + 2] < f[# + 3] &]  (* A246298 *)
Select[t, f[#] > f[# + 1] > f[# + 2] > f[# + 3] < f[# + 4] &] (* A246299 *)

Extensions

Corrected signs in NAME. - R. J. Mathar, May 18 2020