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A198988 Decimal expansion of x>0 satisfying 4*x^2-cos(x)=2. 2
8, 1, 8, 9, 8, 7, 3, 6, 8, 4, 4, 8, 7, 3, 3, 4, 3, 7, 7, 4, 7, 8, 2, 4, 3, 5, 5, 1, 6, 7, 7, 0, 6, 6, 4, 4, 3, 6, 9, 2, 5, 9, 8, 9, 2, 5, 4, 8, 1, 8, 5, 0, 3, 4, 8, 8, 4, 1, 2, 2, 9, 0, 2, 9, 3, 4, 8, 7, 3, 7, 2, 2, 9, 3, 4, 8, 1, 0, 7, 1, 8, 1, 4, 5, 1, 7, 8, 4, 0, 5, 2, 0, 4, 7, 3, 0, 6, 9, 7 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

See A198755 for a guide to related sequences.  The Mathematica program includes a graph.

LINKS

Table of n, a(n) for n=0..98.

EXAMPLE

x=0.818987368448733437747824355167706644369...

MATHEMATICA

a = 4; b = -1; c = 2;

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

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

r = x /. FindRoot[f[x] == g[x], {x, .81, .82}, WorkingPrecision -> 110]

RealDigits[r] (* A198988 *)

CROSSREFS

Cf. A198755.

Sequence in context: A094770 A093565 A081777 * A098367 A141228 A133820

Adjacent sequences:  A198985 A198986 A198987 * A198989 A198990 A198991

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Nov 01 2011

STATUS

approved

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Last modified June 21 00:57 EDT 2021. Contains 345329 sequences. (Running on oeis4.)