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A198144
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Decimal expansion of least x having x^2-4x=-3*cos(x).
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3
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6, 9, 6, 5, 8, 5, 8, 4, 7, 7, 7, 9, 0, 6, 5, 8, 0, 1, 9, 8, 6, 5, 9, 2, 4, 3, 4, 6, 3, 2, 7, 5, 4, 3, 5, 8, 8, 5, 5, 9, 0, 0, 5, 4, 6, 0, 3, 5, 9, 3, 5, 5, 5, 7, 7, 8, 4, 6, 5, 4, 9, 7, 8, 7, 6, 5, 8, 8, 3, 8, 9, 3, 3, 9, 9, 4, 9, 1, 0, 8, 6, 8, 4, 8, 8, 2, 3, 0, 7, 8, 6, 1, 8, 6, 4, 0, 5, 7, 1
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OFFSET
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0,1
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COMMENTS
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See A197737 for a guide to related sequences. The Mathematica program includes a graph.
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LINKS
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Table of n, a(n) for n=0..98.
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EXAMPLE
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least x: 0.69658584777906580198659243463275435885...
greatest x: 4.28804762370313657874580002787893697...
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MATHEMATICA
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a = 1; b = -4; c = -3;
f[x_] := a*x^2 + b*x; g[x_] := c*Cos[x]
Plot[{f[x], g[x]}, {x, -1, 5}]
r1 = x /. FindRoot[f[x] == g[x], {x, 0.69, 0.70}, WorkingPrecision -> 110]
RealDigits[r1] (* A198144 *)
r2 = x /. FindRoot[f[x] == g[x], {x, 4.28, 4.29}, WorkingPrecision -> 110]
RealDigits[r2] (* A198145 *)
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CROSSREFS
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Cf. A197737.
Sequence in context: A121821 A021859 A196462 * A154394 A126599 A159691
Adjacent sequences: A198141 A198142 A198143 * A198145 A198146 A198147
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KEYWORD
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nonn,cons
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AUTHOR
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Clark Kimberling, Oct 21 2011
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STATUS
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approved
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