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A199869
Decimal expansion of x>0 satisfying 4*x^2-3*x*cos(x)=3*sin(x).
2
1, 0, 1, 9, 5, 0, 4, 6, 3, 9, 3, 1, 5, 1, 7, 6, 3, 5, 2, 8, 8, 2, 8, 4, 5, 3, 7, 8, 6, 5, 5, 2, 7, 1, 4, 6, 7, 3, 0, 1, 9, 2, 1, 7, 1, 9, 3, 3, 3, 8, 9, 0, 3, 5, 5, 1, 1, 3, 6, 1, 0, 3, 5, 9, 2, 2, 2, 0, 5, 9, 0, 9, 0, 2, 5, 4, 9, 0, 5, 0, 4, 6, 4, 0, 4, 7, 9, 8, 6, 3, 3, 3, 1, 6, 5, 7, 8, 6, 1
OFFSET
1,4
COMMENTS
See A199597 for a guide to related sequences. The Mathematica program includes a graph.
EXAMPLE
x=1.019504639315176352882845378655271467301921719333...
MATHEMATICA
a = 4; b = -3; c = 3;
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, 1.01, 1.02}, WorkingPrecision -> 110]
RealDigits[r] (* A199869 *)
CROSSREFS
Cf. A199597.
Sequence in context: A145436 A199509 A266558 * A197378 A232738 A201395
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Nov 11 2011
STATUS
approved