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A246306
Numbers k such that cos(k) > cos(k+1) > cos(k+2) > cos(k+3) < cos(k+4).
4
0, 6, 13, 19, 25, 32, 38, 44, 50, 57, 63, 69, 76, 82, 88, 94, 101, 107, 113, 120, 126, 132, 138, 145, 151, 157, 164, 170, 176, 182, 189, 195, 201, 207, 214, 220, 226, 233, 239, 245, 251, 258, 264, 270, 277, 283, 289, 295, 302, 308, 314, 321, 327, 333, 339
OFFSET
1,2
COMMENTS
The sequences A246303, A246304, A246305, A246306 partition the nonnegative integers.
LINKS
MATHEMATICA
z = 500; f[x_] := f[x] = Cos[x]; t = Range[0, z];
Select[t, f[#] < f[# + 1] &] (* A246303 *)
Select[t, f[#] > f[# + 1] < f[# + 2] &] (* A246304 *)
Select[t, f[#] > f[# + 1] > f[# + 2] < f[# + 3] &] (* A246305 *)
Select[t, f[#] > f[# + 1] > f[# + 2] > f[# + 3] < f[# + 4] &] (* A246306 *)
CROSSREFS
Cf. A026303, A246304, A246305, A026311 (complement of A246303).
Sequence in context: A095911 A013575 A075727 * A135274 A189378 A022388
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, Aug 22 2014
EXTENSIONS
Definition corrected by Georg Fischer, Apr 01 2024
STATUS
approved