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A198933 Decimal expansion of x>0 satisfying 3*x^2-3*cos(x)=1. 2
9, 5, 4, 6, 0, 2, 7, 1, 9, 1, 5, 4, 7, 3, 6, 2, 1, 4, 3, 9, 9, 6, 8, 0, 8, 2, 2, 6, 2, 5, 4, 8, 6, 4, 8, 0, 8, 5, 9, 8, 3, 5, 4, 0, 7, 5, 7, 1, 8, 6, 7, 0, 1, 5, 1, 2, 4, 4, 6, 7, 8, 7, 0, 5, 0, 5, 4, 0, 3, 8, 4, 8, 3, 7, 2, 8, 9, 4, 1, 7, 9, 6, 0, 9, 3, 4, 0, 5, 7, 2, 8, 9, 0, 1, 3, 1, 6, 0, 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=0.954602719154736214399680822625486480859...

MATHEMATICA

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

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, .95, .96}, WorkingPrecision -> 110]

RealDigits[r] (* A198933 *)

CROSSREFS

Cf. A198755.

Sequence in context: A071831 A245294 A110894 * A259148 A089491 A199792

Adjacent sequences:  A198930 A198931 A198932 * A198934 A198935 A198936

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Nov 01 2011

STATUS

approved

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Last modified November 17 23:26 EST 2019. Contains 329242 sequences. (Running on oeis4.)