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A199272 Decimal expansion of x>0 satisfying 2*x^2+2*x*cos(x)=3. 3
9, 7, 6, 3, 1, 2, 2, 7, 3, 6, 1, 5, 1, 3, 0, 1, 2, 3, 0, 7, 6, 4, 7, 0, 1, 4, 1, 3, 3, 5, 0, 9, 1, 5, 6, 7, 9, 6, 7, 9, 5, 3, 4, 3, 8, 0, 9, 3, 0, 7, 2, 6, 9, 5, 0, 4, 9, 1, 0, 7, 1, 7, 6, 4, 3, 2, 7, 7, 0, 7, 7, 1, 5, 4, 3, 2, 7, 9, 7, 2, 8, 5, 0, 0, 3, 9, 9, 2, 7, 6, 7, 2, 6, 5, 1, 8, 8, 3, 9 (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: -1.342905122329356157795629258382825825170...

positive:  0.976312273615130123076470141335091567967...

MATHEMATICA

a = 2; b = 2; c = 3;

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

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

r = x /. FindRoot[f[x] == g[x], {x, -1.35, -1.34}, WorkingPrecision -> 110]

RealDigits[r]   (* A199271 *)

r = x /. FindRoot[f[x] == g[x], {x, .97, .98}, WorkingPrecision -> 110]

RealDigits[r]   (* A199272 *)

CROSSREFS

Cf. A199170.

Sequence in context: A021839 A094131 A021510 * A020840 A069181 A214552

Adjacent sequences:  A199269 A199270 A199271 * A199273 A199274 A199275

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Nov 04 2011

STATUS

approved

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Last modified January 22 10:52 EST 2020. Contains 331144 sequences. (Running on oeis4.)