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A198940
Decimal expansion of x>0 satisfying 3*x^2-4*cos(x)=2.
2
1, 1, 1, 8, 0, 1, 5, 0, 5, 0, 8, 3, 7, 0, 2, 0, 2, 5, 5, 8, 4, 4, 1, 3, 1, 2, 6, 5, 4, 8, 7, 6, 4, 2, 4, 2, 6, 6, 3, 7, 0, 5, 5, 7, 7, 4, 1, 4, 0, 7, 6, 6, 1, 6, 7, 8, 2, 5, 7, 9, 9, 4, 8, 9, 0, 5, 0, 3, 6, 2, 0, 5, 1, 4, 4, 7, 3, 6, 1, 1, 9, 7, 0, 5, 8, 9, 4, 1, 0, 3, 1, 3, 1, 8, 3, 9, 1, 4, 8
OFFSET
1,4
COMMENTS
See A198755 for a guide to related sequences. The Mathematica program includes a graph.
EXAMPLE
x=1.118015050837020255844131265487642426637055...
MATHEMATICA
a = 3; b = -4; c = 2;
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, 1.11, 1.12}, WorkingPrecision -> 110]
RealDigits[r] (* A198940 *)
CROSSREFS
Cf. A198755.
Sequence in context: A037448 A011470 A345295 * A321107 A198117 A241215
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Nov 01 2011
STATUS
approved