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A246415 Positive integers k satisfying csc(k) < csc(k+1) < csc(k+2) > csc(k+3). 3
22, 66, 110, 154, 177, 221, 265, 309, 355, 399, 443, 487, 554, 598, 642, 686, 732, 776, 820, 864, 887, 931, 975, 1019, 1065, 1109, 1153, 1197, 1264, 1308, 1352, 1396, 1442, 1486, 1530, 1574, 1597, 1641, 1685, 1729, 1775, 1819, 1863, 1907, 1974, 2018, 2062 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

A246413, A246414, and this sequence 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 *)

PROG

(PARI) is(n) = (1/sin(n)) < (1/sin(n+1)) && (1/sin(n+1)) < (1/sin(n+2)) && (1/sin(n+2)) > (1/sin(n+3)) \\ Felix Fröhlich, Jan 02 2018

CROSSREFS

Cf. A246413, A246414.

Sequence in context: A126376 A136604 A064710 * A164136 A041946 A303858

Adjacent sequences:  A246412 A246413 A246414 * A246416 A246417 A246418

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Aug 25 2014

EXTENSIONS

Name corrected by David Gross, Jan 02 2018

STATUS

approved

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Last modified May 24 06:53 EDT 2019. Contains 323529 sequences. (Running on oeis4.)