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A199266 Decimal expansion of x>0 satisfying 2*x^2+x*cos(x)=2. 3
8, 4, 8, 2, 4, 9, 6, 4, 9, 0, 6, 6, 0, 3, 3, 5, 6, 4, 4, 9, 3, 0, 0, 1, 6, 7, 1, 3, 6, 5, 3, 6, 0, 1, 0, 5, 1, 5, 8, 7, 0, 8, 7, 3, 5, 3, 8, 3, 3, 5, 2, 5, 3, 4, 6, 7, 8, 2, 7, 4, 0, 3, 0, 2, 5, 6, 9, 7, 0, 7, 8, 0, 7, 5, 7, 1, 7, 7, 8, 1, 7, 4, 4, 8, 9, 5, 2, 7, 7, 9, 5, 8, 5, 6, 5, 4, 8, 8, 6 (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: -1.11586547417780092002590535253585579273...

positive:  0.84824964906603356449300167136536010515870...

MATHEMATICA

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

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

Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]

r = x /. FindRoot[f[x] == g[x], {x, -1.2, -1.1}, WorkingPrecision -> 110]

RealDigits[r]   (* A199265 *)

r = x /. FindRoot[f[x] == g[x], {x, .84, .85}, WorkingPrecision -> 110]

RealDigits[r]   (* A199266 *)

CROSSREFS

Cf. A199170.

Sequence in context: A197260 A155889 A275712 * A205383 A083948 A021848

Adjacent sequences:  A199263 A199264 A199265 * A199267 A199268 A199269

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Nov 04 2011

STATUS

approved

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Last modified November 16 22:20 EST 2019. Contains 329208 sequences. (Running on oeis4.)