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A198886
Decimal expansion of x>0 satisfying 2*x^2-4*cos(x)=3.
2
1, 3, 7, 4, 6, 7, 5, 3, 4, 3, 9, 3, 4, 6, 8, 1, 8, 9, 9, 6, 3, 0, 1, 5, 6, 6, 5, 7, 3, 2, 3, 7, 5, 8, 5, 8, 9, 1, 5, 5, 0, 5, 4, 3, 6, 6, 9, 3, 5, 9, 5, 8, 9, 7, 6, 7, 6, 9, 1, 5, 6, 7, 5, 5, 3, 0, 0, 8, 7, 2, 4, 4, 1, 6, 2, 5, 1, 9, 5, 0, 2, 1, 1, 8, 2, 2, 1, 4, 1, 0, 3, 3, 4, 2, 1, 6, 8, 5, 6
OFFSET
1,2
COMMENTS
See A198755 for a guide to related sequences. The Mathematica program includes a graph.
EXAMPLE
x=1.374675343934681899630156657323758589155...
MATHEMATICA
a = 2; b = -4; c = 3;
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, 1.37, 1.38}, WorkingPrecision -> 110]
RealDigits[r] (* A198886 *)
CROSSREFS
Cf. A198755.
Sequence in context: A019831 A199733 A193625 * A305202 A340013 A192265
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Oct 31 2011
STATUS
approved