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A199174 Decimal expansion of x<0 satisfying x^2+x*cos(x)=3. 3
1, 6, 7, 8, 9, 2, 9, 7, 6, 3, 4, 9, 1, 0, 9, 4, 5, 1, 9, 5, 9, 3, 3, 8, 3, 2, 0, 1, 1, 6, 3, 4, 3, 2, 9, 9, 8, 5, 9, 3, 3, 0, 5, 0, 1, 6, 7, 2, 8, 7, 8, 3, 6, 4, 3, 7, 0, 8, 7, 6, 3, 6, 2, 7, 1, 0, 4, 2, 4, 6, 7, 1, 9, 7, 2, 8, 5, 9, 8, 6, 2, 7, 2, 2, 7, 8, 3, 4, 6, 5, 3, 5, 9, 3, 6, 9, 9, 0, 0 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,2

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: -1.67892976349109451959338320116343299...

positive:  1.90253038503823570345779582773972676...

MATHEMATICA

a = 1; b = 1; c = 3;

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

Plot[{f[x], g[x]}, {x, -2 Pi, 2 Pi}, {AxesOrigin -> {0, 0}}]

r = x /. FindRoot[f[x] == g[x], {x, -1.7, -1.6}, WorkingPrecision -> 110]

RealDigits[r]   (* A199174 *)

r = x /. FindRoot[f[x] == g[x], {x, 1.90, 1.91}, WorkingPrecision -> 110]

RealDigits[r]  (* A199175 *)

CROSSREFS

Cf. A199170.

Sequence in context: A308147 A308165 A090928 * A153604 A324031 A248418

Adjacent sequences:  A199171 A199172 A199173 * A199175 A199176 A199177

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Nov 04 2011

STATUS

approved

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Last modified February 23 23:59 EST 2020. Contains 332195 sequences. (Running on oeis4.)