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A199864
Decimal expansion of x>0 satisfying 4*x^2-x*cos(x)=2*sin(x).
2
6, 6, 1, 5, 7, 3, 3, 0, 1, 8, 2, 0, 5, 9, 1, 2, 1, 3, 9, 3, 3, 8, 6, 7, 1, 1, 5, 4, 1, 2, 8, 3, 4, 2, 8, 3, 3, 8, 0, 2, 3, 4, 0, 0, 5, 6, 3, 2, 4, 6, 9, 9, 1, 4, 2, 9, 2, 5, 2, 0, 2, 4, 2, 7, 8, 3, 0, 7, 0, 8, 2, 2, 9, 9, 5, 2, 4, 5, 0, 6, 0, 1, 7, 3, 6, 9, 8, 0, 9, 0, 4, 4, 6, 2, 5, 1, 2, 7, 5
OFFSET
0,1
COMMENTS
See A199597 for a guide to related sequences. The Mathematica program includes a graph.
EXAMPLE
x=0.66157330182059121393386711541283428338023400...
MATHEMATICA
a = 4; b = -1; c = 2;
f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, .66, .67}, WorkingPrecision -> 110]
RealDigits[r] (* A199864 *)
CROSSREFS
Cf. A199597.
Sequence in context: A111719 A228918 A200281 * A153605 A247447 A112302
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Nov 11 2011
STATUS
approved