A246410 Positive integers k satisfying csc(k) < csc(k+1).

2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64, 66, 67, 69, 71, 73, 75, 77, 79, 81, 83, 85, 87, 90, 92, 94, 96, 98, 100, 102, 104, 106, 108, 110, 111, 113, 115, 117, 119, 121, 123

Offset: 1

Author

Clark Kimberling, Aug 25 2014

Keywords

• nonn
• easy

Comments

Every positive integer is in exactly one of the sequences A246410, A246411, and A246412.

Links

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

Crossrefs

Cf. A246411, A246412, A246413 (complement of a(n)).

Programs

Mathematica

z = 200; f[x_] := f[x] = Csc[x];
Select[Range[1, z], f[#] < f[# + 1] &] (*A246410*)
Select[Range[1, z], f[#] > f[# + 1] < f[# + 2] &] (*A246411*)
Select[Range[1, 10 z], f[#] > f[# + 1] > f[# + 2] < f[# + 3] &] (*A246412*)