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A199274 Decimal expansion of x>0 satisfying 2*x^2+3*x*cos(x)=1. 3
2, 8, 9, 5, 0, 5, 4, 4, 8, 3, 8, 5, 8, 6, 7, 4, 1, 5, 5, 9, 2, 1, 7, 9, 4, 8, 3, 1, 9, 8, 9, 8, 2, 4, 5, 2, 3, 8, 1, 3, 1, 4, 3, 3, 8, 6, 3, 2, 2, 5, 8, 1, 1, 4, 5, 6, 8, 0, 7, 2, 4, 0, 2, 8, 2, 3, 6, 7, 2, 1, 2, 5, 7, 1, 2, 9, 9, 1, 1, 0, 3, 1, 6, 6, 7, 0, 2, 8, 3, 6, 5, 7, 4, 5, 9, 6, 1, 4, 0 (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: -1.11270716122321939210526043888351330910...

positive:  0.289505448385867415592179483198982452381...

MATHEMATICA

a = 2; b = 3; c = 1;

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, -1.2, -1.1}, WorkingPrecision -> 110]

RealDigits[r]    (* A199273 *)

r = x /. FindRoot[f[x] == g[x], {x, .28, .29}, WorkingPrecision -> 110]

RealDigits[r]    (* A199274 *)

CROSSREFS

Cf. A199170.

Sequence in context: A201896 A154859 A179377 * A140241 A108744 A195724

Adjacent sequences:  A199271 A199272 A199273 * A199275 A199276 A199277

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.)