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A198564
Decimal expansion of x>0 having 4*x^2-2x=sin(x).
2
7, 2, 8, 4, 6, 8, 2, 3, 9, 3, 5, 6, 9, 9, 0, 7, 6, 8, 3, 6, 1, 5, 3, 2, 2, 7, 8, 1, 4, 9, 9, 0, 7, 4, 7, 0, 5, 2, 5, 0, 9, 5, 3, 6, 5, 0, 7, 0, 5, 2, 8, 5, 5, 4, 9, 5, 9, 3, 8, 6, 9, 5, 3, 7, 9, 3, 9, 9, 9, 0, 4, 3, 2, 8, 0, 1, 7, 1, 5, 3, 8, 2, 4, 9, 5, 2, 2, 5, 1, 2, 2, 6, 1, 7, 5, 8, 6, 3, 7
OFFSET
0,1
COMMENTS
See A198414 for a guide to related sequences. The Mathematica program includes a graph.
EXAMPLE
x=0.7284682393569907683615322781499074705250953...
MATHEMATICA
a = 4; b = -2; c = 1;
f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -.2, 1}]
r = x /. FindRoot[f[x] == g[x], {x, .72, .73}, WorkingPrecision -> 110]
RealDigits[r] (* A198564 *)
CROSSREFS
Cf. A198414.
Sequence in context: A093753 A249506 A199046 * A259072 A107311 A363538
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Oct 26 2011
STATUS
approved