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A199281 Decimal expansion of x<0 satisfying 3*x^2+x*cos(x)=2. 3
9, 2, 3, 2, 0, 7, 9, 6, 7, 0, 2, 2, 2, 7, 2, 9, 1, 8, 0, 8, 5, 3, 7, 0, 5, 6, 2, 9, 4, 6, 3, 7, 2, 1, 7, 0, 1, 6, 4, 4, 8, 2, 0, 9, 3, 2, 9, 4, 4, 3, 1, 7, 0, 9, 0, 4, 3, 6, 2, 4, 2, 7, 9, 0, 1, 9, 7, 8, 8, 8, 9, 4, 8, 0, 1, 9, 7, 0, 6, 4, 8, 4, 7, 0, 2, 7, 4, 3, 6, 3, 2, 1, 4, 8, 8, 1, 7, 8, 8 (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: -0.923207967022272918085370562946372...

positive:  0.6988053514945826378907251192096740...

MATHEMATICA

a = 3; b = 1; c = 2;

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

Plot[{f[x], g[x]}, {x, -1, 1}, {AxesOrigin -> {0, 0}}]

r = x /. FindRoot[f[x] == g[x], {x, -1, -.9}, WorkingPrecision -> 110]

RealDigits[r]     (* A199281 *)

r = x /. FindRoot[f[x] == g[x], {x, .69, .70}, WorkingPrecision -> 110]

RealDigits[r]     (* A199282 *)

CROSSREFS

Cf. A199170.

Sequence in context: A132719 A293577 A182497 * A291363 A010161 A222226

Adjacent sequences:  A199278 A199279 A199280 * A199282 A199283 A199284

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Nov 05 2011

STATUS

approved

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Last modified February 23 23:18 EST 2020. Contains 332195 sequences. (Running on oeis4.)