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A046955 Numbers n such that sec(n) decreases monotonically to 0 (or cos(n) increases to 1). +0
1
1, 6, 19, 25, 44, 333, 710, 103993, 312689, 1980127, 2292816, 4272943, 10838702, 80143857, 411557987, 2137933792, 2549491779, 12335900908, 14885392687, 42106686282, 1783366216531, 8958937768937, 279510437053578 (list; graph; listen)
OFFSET

1,2

COMMENT

Also numerators of convergents to 2*Pi - 8 more terms from Vladeta Jovovic (vladeta(AT)Eunet.yu), Nov 09 2004

EXAMPLE

cos(411557987) = 0.999999999999999996782535835854909099962858791940...

MATHEMATICA

a = 0; Do[ If[ Cos[n] > a, Print[n]; a = Cos[n]], {n, 1, 421000000}] (* Or *) (from Robert G. Wilson v Dec 29 2003)

b = 10; Do[ If[ Abs[ Mod[n + Pi/2, 2Pi] - Pi/2] < b, Print[n]; b = Abs[ Mod[n + Pi/2, 2Pi] - Pi/2]], {n, 1, 421000000}] (from Robert G. Wilson v Dec 29 2003)

CROSSREFS

Cf. A046947.

Sequence in context: A130904 A012589 A009048 this_sequence A042215 A041911 A038125

Adjacent sequences: A046952 A046953 A046954 this_sequence A046956 A046957 A046958

KEYWORD

nonn

AUTHOR

Olivier Gerard (ogerard(AT)ext.jussieu.fr)

EXTENSIONS

More terms from Michel ten Voorde (seqfan(AT)tenvoorde.org) One more term from Vladeta Jovovic (vladeta(AT)Eunet.yu), Apr 03 2000.

8 more terms from Vladeta Jovovic (vladeta(AT)Eunet.yu), Nov 09 2004

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.


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