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A198875 Decimal expansion of x>0 satisfying 2*x^2-2*cos(x)=-1. 2
5, 8, 0, 0, 3, 6, 6, 7, 8, 6, 4, 7, 0, 9, 7, 6, 9, 4, 5, 4, 8, 3, 6, 7, 9, 1, 6, 1, 9, 0, 6, 3, 7, 2, 4, 8, 2, 4, 2, 2, 3, 7, 7, 1, 9, 1, 5, 0, 0, 4, 5, 3, 3, 4, 5, 9, 2, 0, 4, 8, 4, 6, 2, 5, 5, 0, 1, 0, 1, 5, 5, 1, 5, 8, 5, 1, 4, 3, 4, 7, 6, 9, 6, 1, 2, 0, 5, 8, 8, 8, 1, 0, 9, 9, 6, 7, 7, 2, 1 (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=0.580036678647097694548367916190637248242237...

MATHEMATICA

a = 2; 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, .58, .59}, WorkingPrecision -> 110]

RealDigits[r] (* A198875 *)

CROSSREFS

Cf. A198755.

Sequence in context: A257774 A281386 A090817 * A249403 A201756 A242674

Adjacent sequences:  A198872 A198873 A198874 * A198876 A198877 A198878

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Oct 31 2011

STATUS

approved

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Last modified April 15 04:52 EDT 2021. Contains 342975 sequences. (Running on oeis4.)