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A199276 Decimal expansion of x>0 satisfying 2*x^2+3*x*cos(x)=2. 3
5, 4, 7, 0, 0, 5, 7, 4, 0, 5, 4, 6, 8, 8, 9, 5, 7, 6, 4, 3, 6, 9, 2, 3, 2, 4, 7, 1, 5, 0, 7, 5, 5, 7, 2, 5, 0, 8, 7, 7, 5, 8, 0, 3, 0, 4, 0, 5, 9, 8, 1, 9, 6, 3, 2, 2, 3, 5, 5, 7, 5, 8, 3, 7, 7, 8, 5, 7, 5, 3, 9, 8, 1, 3, 5, 2, 1, 6, 9, 9, 0, 8, 4, 6, 8, 6, 5, 7, 4, 8, 2, 5, 2, 6, 1, 5, 2, 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: -1.25750748269679781262452282006866921022...

positive:  0.547005740546889576436923247150755725087...

MATHEMATICA

a = 2; 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, -1.3, -1.2}, WorkingPrecision -> 110]

RealDigits[r]    (* A199275 *)

r = x /. FindRoot[f[x] == g[x], {x, .54, .55}, WorkingPrecision -> 110]

RealDigits[r]    (* A199276 *)

CROSSREFS

Cf. A199170.

Sequence in context: A244088 A020832 A246724 * A293380 A021870 A210974

Adjacent sequences:  A199273 A199274 A199275 * A199277 A199278 A199279

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.)