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A199872
Decimal expansion of x>0 satisfying 4*x^2-4*x*cos(x)=3*sin(x).
2
1, 0, 8, 1, 7, 9, 0, 0, 5, 1, 2, 8, 5, 1, 3, 0, 2, 4, 7, 3, 7, 2, 6, 8, 1, 8, 4, 7, 8, 0, 5, 4, 1, 1, 4, 5, 9, 0, 3, 4, 2, 0, 2, 6, 1, 6, 8, 3, 4, 7, 9, 3, 1, 2, 5, 8, 4, 7, 6, 0, 4, 2, 2, 9, 9, 2, 2, 8, 3, 3, 4, 5, 3, 6, 0, 3, 3, 3, 0, 6, 2, 8, 6, 1, 4, 9, 0, 4, 9, 6, 8, 7, 9, 0, 1, 5, 7, 9, 9
OFFSET
1,3
COMMENTS
See A199597 for a guide to related sequences. The Mathematica program includes a graph.
EXAMPLE
x=1.0817900512851302473726818478054114590342026...
MATHEMATICA
a = 4; b = -4; 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, 1.08, 1.09}, WorkingPrecision -> 110]
RealDigits[r] (* A199872 *)
CROSSREFS
Cf. A199597.
Sequence in context: A242024 A159642 A234614 * A143548 A231929 A154460
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Nov 11 2011
STATUS
approved