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A199782
Decimal expansion of x>0 satisfying 2*x^2-4*x*cos(x)=sin(x).
2
1, 1, 7, 1, 2, 5, 7, 3, 0, 0, 3, 4, 2, 5, 6, 2, 9, 5, 6, 1, 8, 4, 6, 1, 2, 5, 0, 0, 5, 3, 9, 2, 0, 6, 8, 9, 4, 0, 5, 9, 3, 7, 3, 6, 4, 3, 4, 6, 9, 1, 8, 6, 8, 8, 3, 7, 6, 7, 5, 5, 8, 2, 7, 7, 1, 2, 6, 3, 9, 1, 8, 5, 7, 2, 1, 0, 7, 8, 6, 7, 7, 1, 5, 3, 0, 7, 8, 7, 5, 7, 3, 6, 3, 3, 4, 3, 2, 4, 6
OFFSET
1,3
COMMENTS
See A199597 for a guide to related sequences. The Mathematica program includes a graph.
EXAMPLE
x=1.171257300342562956184612500539206894059373...
MATHEMATICA
a = 2; b = -4; c = 1;
f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -1, 2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, 1.17, 1.18}, WorkingPrecision -> 110]
RealDigits[r] (* A199782 *)
CROSSREFS
Cf. A199597.
Sequence in context: A222216 A212498 A153103 * A147708 A238273 A155773
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Nov 10 2011
STATUS
approved