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A199279 Decimal expansion of x<0 satisfying 3*x^2+x*cos(x)=1. 3
7, 1, 6, 5, 5, 0, 3, 8, 3, 9, 0, 6, 1, 7, 8, 2, 0, 2, 3, 9, 2, 3, 8, 8, 0, 3, 0, 1, 8, 3, 5, 5, 1, 3, 5, 8, 0, 8, 2, 7, 4, 0, 2, 7, 3, 3, 1, 9, 5, 4, 2, 4, 7, 5, 3, 8, 0, 7, 3, 4, 7, 0, 9, 9, 7, 2, 4, 7, 7, 5, 8, 3, 4, 8, 7, 4, 5, 5, 3, 6, 0, 6, 5, 1, 6, 7, 2, 6, 6, 9, 3, 5, 5, 4, 1, 7, 1, 7, 1 (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: -0.7165503839061782023923880301835513...

positive:  0.4462598117717659562961701211990923...

MATHEMATICA

Remove["Global`*"];

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

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, -.8, -.7}, WorkingPrecision -> 110]

RealDigits[r]    (* A199279 *)

r = x /. FindRoot[f[x] == g[x], {x, .44, .45}, WorkingPrecision -> 110]

RealDigits[r]    (* A199280 *)

CROSSREFS

Cf. A199170.

Sequence in context: A229342 A176438 A092615 * A086309 A255888 A060625

Adjacent sequences:  A199276 A199277 A199278 * A199280 A199281 A199282

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.)