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Search: id:A004112
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| A004112 |
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Numbers n where |cos(n)| (or |cosec(n)| or |cot(n)|) decreases monotonically to 0; also |tan(n)|, |sec(n)|, |sin(n)| increases. |
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+0
4
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| 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; listen)
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OFFSET
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1,3
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LINKS
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Eric Weisstein's World of Mathematics, Flint Hill Series
Eric Weisstein's World of Mathematics, Secant
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EXAMPLE
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After 151th 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...
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MATHEMATICA
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a = -1; Do[b = N[ Abs[ Tan[n]], 24]; If[b > a, Print[n]; a = b], {n, 0, 13833}]
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CROSSREFS
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Cf. A046947.
Sequence in context: A018846 A056661 A135050 this_sequence A024815 A073837 A092767
Adjacent sequences: A004109 A004110 A004111 this_sequence A004113 A004114 A004115
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KEYWORD
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nonn,nice
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AUTHOR
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Clark Kimberling (ck6(AT)evansville.edu)
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EXTENSIONS
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More terms from Olivier Gerard (ogerard(AT)ext.jussieu.fr)
Edited by Robert G. Wilson v (rgwv(AT)rgwv.com), Jan 28 2003
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