A246296 Numbers k such that sin(k) < sin(k+1) < sin(k+2) < sin(k+3) > sin(k+4).

5, 11, 17, 24, 30, 36, 43, 49, 55, 61, 68, 74, 80, 87, 93, 99, 105, 112, 118, 124, 131, 137, 143, 149, 156, 162, 168, 174, 181, 187, 193, 200, 206, 212, 218, 225, 231, 237, 244, 250, 256, 262, 269, 275, 281, 288, 294, 300, 306, 313, 319, 325, 332, 338, 344

Offset

1,1

Comments

The sequences A246293, A246294, A246295, A246296 partition the nonnegative integers.

Numbers like 42, 86, 130, 199, 243, 287,.. 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

Mathematica

z = 500; f[x_] := f[x] = Sin[x]; t = Range[0, z];
Select[t, f[#] > f[# + 1] &]  (* A246293 *)
Select[t, f[#] < f[# + 1] > f[# + 2] &]  (* A246294 *)
Select[t, f[#] < f[# + 1] < f[# + 2] > f[# + 3] &]  (* A246295 *)
Select[t, f[#] < f[# + 1] < f[# + 2] < f[# + 3] > f[# + 4] &] (* A246296 *)

Crossrefs

Cf. A246293, A246294, A246295, A026309 (complement of A246293).

Sequence in context: A216551 A314255 A369274 * A368874 A089110 A023489

Adjacent sequences: A246293 A246294 A246295 * A246297 A246298 A246299

Keyword

nonn,easy

Author

Clark Kimberling, Aug 21 2014

Status

approved