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A196602
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Decimal expansion of the least x>0 satisfying 1=x*cos(3*x).
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4
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1, 7, 7, 0, 8, 2, 3, 2, 3, 7, 2, 1, 8, 8, 5, 5, 8, 9, 9, 1, 2, 2, 0, 5, 2, 6, 6, 6, 0, 8, 4, 8, 0, 1, 0, 6, 0, 3, 9, 7, 2, 3, 1, 3, 7, 4, 3, 0, 6, 9, 2, 7, 8, 5, 0, 8, 0, 4, 1, 8, 7, 4, 2, 7, 9, 4, 9, 6, 8, 8, 4, 9, 0, 1, 8, 2, 3, 4, 3, 0, 7, 8, 8, 1, 4, 2, 9, 4, 3, 2, 8, 2, 9, 0, 8, 8, 4, 4, 1, 7
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OFFSET
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1,2
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LINKS
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EXAMPLE
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x=1.770823237218855899122052666084801060397231374306...
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MATHEMATICA
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Plot[{1/x, Cos[x], Cos[2 x], Cos[3 x], Cos[4 x]}, {x, 0, 2 Pi}]
t = x /. FindRoot[1/x == Cos[x], {x, 4, 7}, WorkingPrecision -> 100]
t = x /. FindRoot[1/x == Cos[2 x], {x, 2, 3}, WorkingPrecision -> 100]
t = x /. FindRoot[1/x == Cos[3 x], {x, 1, 2}, WorkingPrecision -> 100]
t = x /. FindRoot[1/x == Cos[4 x], {x, .9, 1.4}, WorkingPrecision -> 100]
t = x /. FindRoot[1/x == Cos[5 x], {x, .9, 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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