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A196821
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Decimal expansion of the least x>0 satisfying 1/(1+x^2)=6*cos(x).
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6
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1, 5, 2, 0, 4, 4, 9, 4, 5, 0, 8, 3, 3, 8, 1, 6, 3, 6, 3, 1, 4, 7, 4, 5, 8, 8, 2, 0, 8, 9, 0, 5, 6, 3, 9, 6, 3, 1, 3, 8, 9, 8, 5, 3, 0, 5, 5, 8, 3, 2, 7, 8, 4, 3, 5, 1, 8, 1, 2, 8, 9, 3, 4, 0, 1, 3, 6, 8, 8, 1, 5, 5, 1, 6, 1, 1, 3, 2, 8, 2, 2, 3, 1, 6, 8, 8, 9, 2, 6, 3, 2, 4, 0, 2, 9, 2, 6, 1, 3, 9
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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=1.5204494508338163631474588208905639631389853055832784...
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MATHEMATICA
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Plot[{1/(1 + x^2), Cos[x], 2 Cos[x], 3 Cos[x], 4 Cos[x]}, {x, 0, 2}]
t = x /. FindRoot[1 == (1 + x^2) Cos[x], {x, 1, 1.5}, WorkingPrecision -> 100]
t = x /. FindRoot[1 == 2 (1 + x^2) Cos[x], {x, 1, 1.6},
WorkingPrecision -> 100]
t = x /. FindRoot[1 == 3 (1 + x^2) Cos[x], {x, 1, 1.6},
WorkingPrecision -> 100]
t = x /. FindRoot[1 == 4 (1 + x^2) Cos[x], {x, 1, 1.6},
WorkingPrecision -> 100]
t = x /. FindRoot[1 == 5 (1 + x^2) Cos[x], {x, 1, 1.6},
WorkingPrecision -> 100]
t = x /. FindRoot[1 == 6 (1 + x^2) Cos[x], {x, 1, 1.6},
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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