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A198494
Decimal expansion of x>0 having 2x^2+x=3*sin(x).
2
8, 3, 2, 6, 0, 2, 2, 2, 1, 7, 6, 6, 6, 8, 9, 5, 5, 9, 5, 4, 1, 7, 0, 6, 5, 2, 0, 5, 9, 7, 9, 3, 4, 9, 7, 4, 0, 5, 6, 7, 1, 3, 1, 2, 5, 5, 3, 8, 7, 7, 4, 9, 7, 2, 1, 8, 6, 2, 5, 4, 5, 8, 6, 8, 8, 0, 9, 3, 6, 9, 0, 1, 6, 2, 4, 5, 2, 3, 1, 7, 9, 5, 6, 9, 8, 5, 6, 0, 4, 1, 6, 5, 2, 1, 2, 4, 9, 2, 5
OFFSET
0,1
COMMENTS
See A198414 for a guide to related sequences. The Mathematica program includes a graph.
EXAMPLE
x=0.8326022217666895595417065205979...
MATHEMATICA
a = 2; b = 1; c = 3;
f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -1, 1}]
r = x /. FindRoot[f[x] == g[x], {x, .83, .84}, WorkingPrecision -> 110]
RealDigits[r] (* A198494 *)
CROSSREFS
Cf. A198414.
Sequence in context: A154014 A063568 A302138 * A100668 A194159 A154158
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Oct 25 2011
STATUS
approved