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A198927 Decimal expansion of x>0 satisfying 3*x^2-2*cos(x)=-1. 2
5, 0, 1, 3, 0, 3, 0, 3, 9, 7, 5, 5, 1, 2, 4, 8, 7, 8, 3, 2, 2, 1, 2, 0, 7, 9, 5, 6, 8, 8, 6, 4, 7, 6, 4, 7, 1, 8, 1, 5, 9, 5, 8, 3, 7, 2, 0, 8, 9, 4, 4, 4, 7, 1, 0, 6, 1, 5, 0, 7, 4, 8, 8, 4, 3, 4, 5, 3, 7, 5, 0, 0, 9, 6, 2, 1, 3, 8, 0, 2, 2, 3, 2, 6, 9, 5, 7, 9, 3, 6, 6, 9, 0, 3, 1, 7, 8, 5, 2 (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=0.5013030397551248783221207956886476471815...

MATHEMATICA

a = 3; b = -2; 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, .5, .51}, WorkingPrecision -> 110]

RealDigits[r]  (* A198927 *)

CROSSREFS

Cf. A198755.

Sequence in context: A200653 A058064 A316568 * A198100 A104112 A115635

Adjacent sequences:  A198924 A198925 A198926 * A198928 A198929 A198930

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Oct 31 2011

STATUS

approved

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Last modified June 6 17:20 EDT 2020. Contains 334829 sequences. (Running on oeis4.)