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A197843
Decimal expansion of least x having x^2+2x=2*cos(x).
3
1, 7, 7, 3, 2, 3, 2, 1, 5, 7, 4, 9, 1, 7, 1, 6, 7, 2, 7, 0, 3, 8, 9, 9, 4, 6, 4, 1, 9, 7, 0, 8, 1, 6, 4, 1, 4, 1, 0, 2, 3, 7, 2, 3, 3, 5, 3, 6, 6, 7, 2, 8, 8, 2, 4, 4, 9, 4, 6, 2, 8, 1, 2, 1, 2, 5, 3, 7, 2, 4, 5, 4, 6, 6, 0, 4, 1, 4, 2, 7, 2, 1, 9, 2, 9, 7, 3, 7, 5, 3, 0, 9, 7, 9, 2, 6, 3, 7, 7, 5, 8
OFFSET
1,2
COMMENTS
See A197737 for a guide to related sequences. The Mathematica program includes a graph.
EXAMPLE
least x: -1.77323215749171672703899464197081641...
greatest x: 0.620762336586614714452120247321515...
MATHEMATICA
a = 1; b = 2; c = 2;
f[x_] := a*x^2 + b*x; g[x_] := c*Cos[x]
Plot[{f[x], g[x]}, {x, -2, 1}]
r1 = x /. FindRoot[f[x] == g[x], {x, -1.8, -1.7}, WorkingPrecision -> 110]
RealDigits[r1] (* A197843 *)
r2 = x /. FindRoot[f[x] == g[x], {x, .62, .63}, WorkingPrecision -> 110]
RealDigits[r2] (* A197844 *)
CROSSREFS
Cf. A197737.
Sequence in context: A199613 A136141 A264806 * A211074 A204067 A291364
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Oct 20 2011
STATUS
approved