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A199725
Decimal expansion of x>0 satisfying x^2-2*x*cos(x)=2*sin(x).
2
1, 4, 9, 2, 4, 6, 3, 2, 3, 9, 8, 0, 6, 3, 7, 8, 6, 7, 2, 0, 7, 0, 4, 0, 6, 5, 8, 9, 5, 2, 8, 0, 4, 3, 7, 9, 9, 0, 6, 1, 7, 7, 3, 6, 3, 5, 7, 2, 8, 3, 4, 3, 9, 2, 8, 5, 2, 5, 8, 7, 8, 2, 8, 0, 2, 6, 8, 9, 2, 1, 3, 0, 5, 6, 7, 0, 6, 7, 6, 5, 8, 6, 7, 6, 6, 6, 9, 3, 5, 0, 8, 0, 7, 5, 7, 2, 7, 5, 1
OFFSET
1,2
COMMENTS
See A199597 for a guide to related sequences. The Mathematica program includes a graph.
EXAMPLE
x=1.4924632398063786720704065895280437990...
MATHEMATICA
a = 1; b = -2; c = 2;
f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -2 Pi, Pi}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, 1.49, 1.50}, WorkingPrecision -> 110]
RealDigits[r] (* A199725 *)
CROSSREFS
Cf. A199597.
Sequence in context: A126709 A125575 A254159 * A349274 A021071 A197146
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Nov 09 2011
STATUS
approved