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A246303
Numbers k such that cos(k) < cos(k+1).
11
3, 4, 5, 9, 10, 11, 12, 16, 17, 18, 22, 23, 24, 28, 29, 30, 35, 36, 37, 41, 42, 43, 47, 48, 49, 53, 54, 55, 56, 60, 61, 62, 66, 67, 68, 72, 73, 74, 79, 80, 81, 85, 86, 87, 91, 92, 93, 97, 98, 99, 100, 104, 105, 106, 110, 111, 112, 116, 117, 118, 123, 124
OFFSET
1,1
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. A026304, A246305, A246306, A026311 (complement of A246303).
Sequence in context: A259615 A069807 A132141 * A362461 A285161 A329781
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, Aug 22 2014
STATUS
approved