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A246296
Numbers k such that sin(k) < sin(k+1) < sin(k+2) < sin(k+3) > sin(k+4).
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
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
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, Aug 21 2014
STATUS
approved