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A198840 Decimal expansion of x>0 satisfying x^2-4*cos(x)=3. 2
1, 6, 4, 4, 6, 4, 7, 2, 7, 4, 3, 1, 3, 4, 6, 2, 7, 1, 7, 7, 1, 4, 6, 4, 2, 3, 2, 5, 5, 6, 8, 1, 5, 9, 2, 4, 6, 7, 0, 5, 8, 7, 0, 1, 4, 1, 3, 4, 1, 8, 6, 0, 7, 1, 5, 0, 7, 2, 8, 0, 1, 8, 6, 7, 6, 3, 9, 9, 6, 8, 8, 5, 4, 0, 8, 5, 6, 3, 4, 9, 7, 8, 2, 1, 7, 1, 1, 6, 4, 8, 5, 9, 3, 7, 8, 5, 6, 5, 2 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,2

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=.644647274313462717714642325568159246705870...

MATHEMATICA

a = 1; b = -4; c = 3;

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, 1.6, 1.65}, WorkingPrecision -> 110]

RealDigits[r] (* A198840 *)

CROSSREFS

Cf. A198755.

Sequence in context: A195359 A316162 A332431 * A211268 A021612 A329281

Adjacent sequences:  A198837 A198838 A198839 * A198841 A198842 A198843

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Oct 30 2011

STATUS

approved

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Last modified April 9 10:51 EDT 2020. Contains 333348 sequences. (Running on oeis4.)