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A196773
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Decimal expansion of the least number x>0 satisfying -1=(x^2)*cos(x).
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3
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1, 8, 6, 3, 0, 4, 5, 3, 0, 8, 2, 4, 8, 6, 9, 9, 2, 2, 4, 0, 6, 9, 7, 9, 3, 2, 0, 4, 6, 9, 3, 6, 3, 5, 4, 1, 8, 3, 3, 4, 4, 2, 1, 0, 0, 0, 4, 6, 3, 5, 7, 8, 9, 5, 6, 7, 1, 4, 4, 9, 5, 9, 1, 8, 9, 2, 6, 4, 5, 2, 7, 4, 8, 9, 3, 9, 5, 0, 4, 7, 6, 3, 9, 3, 5, 3, 0, 7, 4, 8, 8, 7, 1, 0, 0, 8, 9, 1, 6, 7
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OFFSET
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1,2
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LINKS
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Table of n, a(n) for n=1..100.
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EXAMPLE
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x=1.863045308248699224069793204693635418...
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MATHEMATICA
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Plot[{1/x + .42, Sin[x]}, {x, 0, 2 Pi}]
t = x /. FindRoot[-1 == (x^2) Cos[x], {x, 1.5, 2.5}, WorkingPrecision -> 100]
RealDigits[t] (* A196773 *)
c = N[-1/t + Sin[t], 100]
RealDigits[c] (* A196774 *)
slope = N[-1/t^2, 100]
RealDigits[slope](* A196775 *)
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CROSSREFS
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Cf. A196774.
Sequence in context: A323810 A342946 A195336 * A197824 A085666 A084895
Adjacent sequences: A196770 A196771 A196772 * A196774 A196775 A196776
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KEYWORD
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nonn,cons
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AUTHOR
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Clark Kimberling, Oct 06 2011
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STATUS
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approved
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