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A199293 Decimal expansion of x<0 satisfying 3*x^2+3*x*cos(x)=2. 3
1, 0, 8, 3, 5, 1, 1, 6, 6, 1, 0, 2, 1, 9, 2, 8, 9, 8, 8, 3, 3, 0, 4, 7, 4, 9, 1, 0, 3, 8, 2, 1, 2, 5, 5, 8, 3, 1, 2, 5, 4, 1, 8, 9, 2, 0, 1, 6, 8, 0, 8, 4, 8, 2, 7, 8, 3, 4, 5, 3, 7, 5, 8, 7, 4, 4, 4, 2, 9, 2, 4, 6, 1, 7, 9, 3, 3, 4, 3, 9, 2, 9, 5, 4, 0, 9, 0, 6, 8, 6, 8, 0, 9, 5, 1, 7, 0, 7, 9 (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: -1.0835116610219289883304749103821255...

positive:  0.48645750461686637457544128449375285...

MATHEMATICA

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

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, -.9}, WorkingPrecision -> 110]

RealDigits[r]    (* A199293 *)

r = x /. FindRoot[f[x] == g[x], {x, .48, .49}, WorkingPrecision -> 110]

RealDigits[r]    (* A199294 *)

CROSSREFS

Cf. A199170.

Sequence in context: A202779 A328498 A199440 * A110234 A196654 A019728

Adjacent sequences:  A199290 A199291 A199292 * A199294 A199295 A199296

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Nov 05 2011

STATUS

approved

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Last modified February 24 00:19 EST 2020. Contains 332195 sequences. (Running on oeis4.)