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A196604
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Decimal expansion of the least x>0 satisfying sec(x)=3x.
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6
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3, 5, 5, 5, 7, 5, 9, 8, 9, 3, 4, 2, 9, 7, 3, 3, 7, 2, 6, 2, 5, 6, 5, 3, 1, 0, 8, 5, 6, 5, 7, 7, 5, 9, 4, 8, 9, 7, 8, 5, 5, 2, 1, 8, 5, 7, 5, 8, 9, 9, 3, 9, 3, 4, 5, 5, 1, 7, 0, 1, 2, 6, 5, 8, 7, 6, 7, 3, 7, 1, 2, 4, 6, 6, 5, 8, 8, 8, 1, 7, 6, 0, 4, 7, 7, 3, 4, 1, 0, 3, 8, 8, 9, 1, 9, 0, 8, 1, 7, 0
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OFFSET
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0,1
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LINKS
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EXAMPLE
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x=0.3555759893429733726256531085657759489...
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MATHEMATICA
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Plot[{1/x, Cos[x], 2 Cos[x], 3*Cos[x], 4 Cos[x]}, {x, 0, 2 Pi}]
t = x /. FindRoot[1/x == Cos[x], {x, .1, 5}, WorkingPrecision -> 100]
t = x /. FindRoot[1/x == 2 Cos[x], {x, .5, .7}, WorkingPrecision -> 100]
t = x /. FindRoot[1/x == 3 Cos[x], {x, .3, .4}, WorkingPrecision -> 100]
t = x /. FindRoot[1/x == 4 Cos[x], {x, .1, .3}, WorkingPrecision -> 100]
t = x /. FindRoot[1/x == 5 Cos[x], {x, .15, .23}, WorkingPrecision -> 100]
t = x /. FindRoot[1/x == 6 Cos[x], {x, .1, .2}, WorkingPrecision -> 100]
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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