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A199729
Decimal expansion of x>0 satisfying x^2-3*x*cos(x)=2*sin(x).
2
1, 5, 0, 8, 8, 1, 6, 7, 0, 3, 3, 4, 9, 5, 0, 3, 0, 5, 0, 7, 8, 1, 0, 1, 8, 0, 8, 2, 7, 2, 2, 1, 6, 3, 4, 0, 4, 3, 9, 1, 6, 0, 1, 1, 1, 5, 3, 6, 3, 4, 9, 5, 7, 1, 8, 3, 5, 6, 9, 7, 7, 9, 0, 0, 4, 5, 5, 7, 7, 3, 8, 6, 2, 8, 6, 5, 0, 7, 4, 7, 7, 6, 6, 5, 3, 0, 0, 1, 4, 4, 2, 4, 5, 8, 4, 3, 7, 4, 7
OFFSET
1,2
COMMENTS
See A199597 for a guide to related sequences. The Mathematica program includes a graph.
EXAMPLE
x=1.50881670334950305078101808272216340439160111...
MATHEMATICA
a = 1; b = -3; 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, 1.50, 1.51}, WorkingPrecision -> 110]
RealDigits[r] (* A199729 *)
CROSSREFS
Cf. A199597.
Sequence in context: A011441 A372391 A294518 * A240358 A200422 A141431
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Nov 09 2011
STATUS
approved