A246411 Positive integers k satisfying csc(k) > csc(k+1) < csc(k+2).

1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 45, 47, 49, 51, 53, 55, 57, 59, 61, 63, 65, 68, 70, 72, 74, 76, 78, 80, 82, 84, 86, 89, 91, 93, 95, 97, 99, 101, 103, 105, 107, 109, 112, 114, 116, 118, 120, 122, 124, 126, 128

Offset

1,2

Comments

A246410, a(n), and A246412 partition the positive integers.

Links

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

Formula

a(n) = A158333(n-1) for n<73. - R. J. Mathar, Sep 01 2014

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*)

Crossrefs

Cf. A246410, A246412.

Sequence in context: A082720 A033037 A246413 * A158333 A293167 A357377

Adjacent sequences: A246408 A246409 A246410 * A246412 A246413 A246414

Keyword

nonn,easy

Author

Clark Kimberling, Aug 25 2014

Status

approved