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A198835 Decimal expansion of x>0 satisfying x^2-3*cos(x)=-1. 2
9, 1, 3, 1, 3, 2, 0, 0, 0, 7, 8, 5, 9, 1, 6, 0, 4, 1, 7, 3, 6, 8, 0, 8, 6, 0, 0, 1, 2, 3, 1, 6, 5, 7, 4, 6, 8, 7, 3, 0, 2, 8, 8, 6, 2, 2, 9, 7, 7, 5, 6, 4, 7, 1, 7, 7, 8, 2, 3, 4, 5, 1, 2, 9, 8, 8, 2, 7, 5, 5, 0, 2, 8, 5, 8, 0, 0, 7, 1, 3, 9, 1, 2, 9, 9, 6, 3, 9, 0, 7, 0, 5, 8, 9, 4, 3, 8, 5, 3 (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=0.91313200078591604173680860012316574687302...

MATHEMATICA

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

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

Plot[{f[x], g[x]}, {x, -3, 3}, {AxesOrigin -> {0, 0}}]

r = x /. FindRoot[f[x] == g[x], {x, .9, 1}, WorkingPrecision -> 110]

RealDigits[r] (* A198835 *)

CROSSREFS

Cf. A198755.

Sequence in context: A080504 A154490 A051995 * A010167 A154181 A239121

Adjacent sequences:  A198832 A198833 A198834 * A198836 A198837 A198838

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Oct 30 2011

STATUS

approved

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Last modified July 24 05:21 EDT 2019. Contains 325290 sequences. (Running on oeis4.)