A246414 Positive integers k satisfying csc(k) < csc(k+1) > csc(k+2).

2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64, 67, 69, 71, 73, 75, 77, 79, 81, 83, 85, 87, 90, 92, 94, 96, 98, 100, 102, 104, 106, 108, 111, 113, 115, 117, 119, 121, 123, 125, 127, 129

Offset

1,1

Comments

A246413, a(n), and A246415 partition the positive integers.

Links

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

Mathematica

z = 200;
f[x_] := f[x] = Csc[x];
Select[Range[1, z], f[#] > f[# + 1] &]  (*A246413*)
Select[Range[1, z], f[#] < f[# + 1] > f[# + 2] &]  (*A246414 *)
Select[Range[1, z], f[#] < f[# + 1] < f[# + 2] > f[# + 3] &]  (*A246415*)
Position[Partition[Csc[Range[200]], 3, 1], _?(#[[1]]<#[[2]]>#[[3]]&), 1, Heads->False]//Flatten (* Harvey P. Dale, May 05 2023 *)

Crossrefs

Cf. A246413, A246415.

Sequence in context: A230201 A059534 A137804 * A054965 A059548 A064720

Adjacent sequences: A246411 A246412 A246413 * A246415 A246416 A246417

Keyword

nonn,easy

Author

Clark Kimberling, Aug 25 2014

Status

approved