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A004112 Numbers n where |cos(n)| (or |cosec(n)| or |cot(n)|) decreases monotonically to 0; also |tan(n)|, |sec(n)|, |sin(n)| increases. 6
0, 1, 2, 5, 8, 11, 344, 699, 1054, 1409, 1764, 2119, 2474, 2829, 3184, 3539, 3894, 4249, 4604, 4959, 5314, 5669, 6024, 6379, 6734, 7089, 7444, 7799, 8154, 8509, 8864, 9219, 9574, 9929, 10284, 10639, 10994, 11349, 11704, 12059, 12414 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

Table of n, a(n) for n=1..41.

Eric Weisstein's World of Mathematics, Flint Hills Series

Eric Weisstein's World of Mathematics, Secant

EXAMPLE

After 151st term, the sequence continues 51819, 52174, 260515, 573204, 4846147, ...

|cos(4846147)| = 0.000000255689511369808141413171..., |cosec(4846147)| = 1.00000000000003268856311..., or |cot(4846147)| = 0.000000255689511369816499535901...

|tan(4846147)| = 3910993.43356970986068082..., |sec(4846147)| = 3910993.43356983770543651..., |sin(4846147)| = 0.999999999999967311436888...

MATHEMATICA

a = -1; Do[b = N[ Abs[ Tan[n]], 24]; If[b > a, Print[n]; a = b], {n, 0, 13833}]

PROG

(PARI) e=2; for(n=0, 1e9, abs(cos(n))<e & !print1(n", ") & e=abs(cos(n))) \\ M. F. Hasler, Apr 01 2013

CROSSREFS

Cf. A046947, A046956, A002485.

Sequence in context: A056661 A229883 A135050 * A024815 A073837 A189531

Adjacent sequences:  A004109 A004110 A004111 * A004113 A004114 A004115

KEYWORD

nonn,nice

AUTHOR

Clark Kimberling

EXTENSIONS

More terms from Olivier Gérard

Edited by Robert G. Wilson v, Jan 28 2003

STATUS

approved

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Last modified February 23 18:48 EST 2019. Contains 320438 sequences. (Running on oeis4.)