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A198606
Decimal expansion of x<0 satisfying 3*x^2+4x=sin(x).
2
1, 0, 5, 8, 8, 9, 1, 2, 6, 8, 5, 3, 1, 9, 7, 4, 4, 7, 9, 4, 7, 0, 3, 8, 8, 9, 5, 8, 4, 5, 1, 4, 8, 1, 1, 2, 1, 2, 1, 2, 2, 6, 8, 9, 4, 6, 7, 7, 1, 7, 6, 8, 8, 9, 0, 6, 7, 0, 8, 8, 6, 5, 7, 5, 0, 6, 4, 4, 8, 4, 9, 4, 2, 5, 4, 0, 5, 9, 7, 3, 6, 6, 8, 0, 2, 8, 0, 5, 2, 5, 2, 4, 1, 6, 1, 7, 4, 9, 3
OFFSET
1,3
COMMENTS
See A198414 for a guide to related sequences. The Mathematica program includes a graph.
EXAMPLE
x=-1.0588912685319744794703889584514811212122...
MATHEMATICA
a = 3; b = 4; c = 1;
f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -1.4, .1}]
r = x /. FindRoot[f[x] == g[x], {x, -1.1, -1}, WorkingPrecision -> 110]
RealDigits[r](* A198606 *)
CROSSREFS
Cf. A198414.
Sequence in context: A365523 A200286 A073822 * A031165 A113729 A097523
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Oct 28 2011
STATUS
approved