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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, 4, 8, 3, 3, 9, 8, 1, 1, 2, 3, 8 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

See A197737 for a guide to related sequences.  The Mathematica program includes a graph.

LINKS

Table of n, a(n) for n=1..99.

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

Adjacent sequences:  A197840 A197841 A197842 * A197844 A197845 A197846

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Oct 20 2011

STATUS

approved

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Last modified March 28 20:44 EDT 2020. Contains 333103 sequences. (Running on oeis4.)