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A198211 Decimal expansion of x>0 having 3*x^2=cos(x). 2
5, 3, 5, 4, 2, 8, 2, 4, 4, 1, 6, 4, 6, 5, 6, 9, 1, 4, 1, 2, 5, 9, 7, 8, 6, 8, 5, 3, 0, 8, 3, 9, 7, 3, 8, 0, 8, 7, 9, 6, 8, 4, 4, 3, 9, 2, 2, 7, 5, 1, 4, 6, 3, 0, 1, 8, 7, 8, 4, 2, 0, 9, 8, 6, 7, 4, 8, 3, 8, 7, 7, 8, 4, 5, 6, 9, 7, 8, 4, 5, 0, 0, 9, 7, 5, 4, 8, 8, 0, 9, 7, 2, 8, 9, 1, 9, 4, 5, 7 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

See A197737 for a guide to related sequences.  The Mathematica program includes a graph.

LINKS

Table of n, a(n) for n=0..98.

EXAMPLE

x=0.535428244164656914125978685308397380...

MATHEMATICA

a = 3; b = 0; c = 1;

f[x_] := a*x^2 + b*x; g[x_] := c*Cos[x]

Plot[{f[x], g[x]}, {x, -1, 1}]

r = x /. FindRoot[f[x] == g[x], {x, 0.53, 0.54}, WorkingPrecision -> 110]

RealDigits[r] (* A198211 *)

CROSSREFS

Cf. A197737.

Sequence in context: A112920 A109364 A122277 * A216707 A145439 A165096

Adjacent sequences:  A198208 A198209 A198210 * A198212 A198213 A198214

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Oct 22 2011

STATUS

approved

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Last modified June 19 08:11 EDT 2013. Contains 226399 sequences.