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A199283 Decimal expansion of x<0 satisfying 3*x^2+x*cos(x)=3. 3
1, 0, 8, 1, 4, 1, 1, 5, 9, 7, 1, 9, 4, 6, 7, 7, 5, 4, 8, 2, 8, 5, 1, 5, 3, 7, 5, 1, 5, 9, 2, 1, 6, 4, 2, 7, 8, 8, 2, 0, 0, 2, 3, 6, 3, 6, 9, 7, 1, 5, 3, 4, 4, 8, 5, 9, 6, 8, 1, 5, 6, 9, 3, 7, 6, 7, 4, 4, 3, 9, 4, 4, 9, 9, 4, 3, 7, 2, 3, 9, 6, 5, 5, 2, 2, 4, 7, 1, 4, 5, 7, 7, 2, 9, 1, 9, 6, 1, 7 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

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

LINKS

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

EXAMPLE

negative: -1.081411597194677548285153751592164...

positive:  0.901983106002417964495821536577097...

MATHEMATICA

a = 3; b = 1; 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, -1.1, -1.0}, WorkingPrecision -> 110]

RealDigits[r]     (* A199283 *)

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

RealDigits[r]    (* A199284 *)

CROSSREFS

Cf. A199170.

Sequence in context: A140457 A176457 A110194 * A079359 A010156 A197590

Adjacent sequences:  A199280 A199281 A199282 * A199284 A199285 A199286

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Nov 05 2011

STATUS

approved

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Last modified January 22 10:25 EST 2020. Contains 331144 sequences. (Running on oeis4.)