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A199179 Decimal expansion of x>0 satisfying x^2+2*x*cos(x)=2. 3
9, 4, 4, 9, 4, 8, 3, 2, 9, 1, 0, 3, 5, 4, 6, 9, 6, 4, 9, 4, 5, 9, 2, 7, 6, 4, 0, 3, 7, 8, 3, 4, 5, 5, 5, 1, 6, 8, 6, 9, 7, 2, 5, 6, 5, 9, 9, 0, 0, 8, 1, 1, 2, 3, 4, 6, 4, 8, 9, 1, 2, 1, 6, 0, 6, 7, 5, 6, 5, 8, 7, 8, 0, 9, 6, 7, 9, 2, 3, 2, 9, 0, 3, 1, 2, 8, 2, 8, 4, 2, 8, 9, 8, 9, 7, 5, 6, 7, 5 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

See A199170 for a guide to related sequences.  The Mathematica program includes a graph.

LINKS

Table of n, a(n) for n=0..98.

EXAMPLE

negative: -1.493519280868891056556339509934781825...

positive:  0.94494832910354696494592764037834555...

MATHEMATICA

a = 1; b = 2; c = 2;

f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c

Plot[{f[x], g[x]}, {x, -5, 3}, {AxesOrigin -> {0, 0}}]

r = x /. FindRoot[f[x] == g[x], {x, -1.5, -1.4}, WorkingPrecision -> 110]

RealDigits[r]  (* A199178 *)

r = x /. FindRoot[f[x] == g[x], {x, .2, .53}, WorkingPrecision -> 110]

RealDigits[r]   (* A199179 *)

CROSSREFS

Cf. A199170.

Sequence in context: A097878 A173571 A275915 * A300072 A062546 A245887

Adjacent sequences:  A199176 A199177 A199178 * A199180 A199181 A199182

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Nov 04 2011

STATUS

approved

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Last modified June 5 18:48 EDT 2020. Contains 334854 sequences. (Running on oeis4.)