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A198995 Decimal expansion of x>0 satisfying 4*x^2-3*cos(x)=-1. 2
6, 0, 5, 5, 2, 0, 1, 2, 3, 4, 6, 2, 2, 5, 3, 5, 2, 3, 9, 5, 8, 2, 9, 0, 7, 0, 5, 9, 6, 5, 7, 4, 3, 8, 9, 7, 5, 7, 3, 8, 4, 9, 3, 0, 3, 7, 7, 2, 4, 0, 4, 8, 2, 8, 2, 3, 8, 4, 3, 5, 8, 5, 6, 0, 8, 2, 1, 2, 9, 4, 8, 5, 0, 1, 1, 2, 2, 2, 9, 1, 5, 6, 2, 8, 0, 1, 5, 4, 5, 6, 7, 2, 6, 8, 4, 0, 6, 6, 7 (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=0.6055201234622535239582907059657438975738493037...

MATHEMATICA

a = 4; 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, .60, .61}, WorkingPrecision -> 110]

RealDigits[r] (* A198995 *)

CROSSREFS

Cf. A198755.

Sequence in context: A131329 A165954 A104288 * A168218 A153754 A096410

Adjacent sequences:  A198992 A198993 A198994 * A198996 A198997 A198998

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Nov 01 2011

STATUS

approved

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Last modified April 21 01:47 EDT 2014. Contains 240824 sequences.