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A198613
Decimal expansion of x < 0 satisfying 3*x^2+2*x = sin(x).
2
3, 3, 9, 7, 0, 7, 6, 2, 3, 5, 2, 7, 0, 9, 1, 3, 0, 3, 2, 1, 7, 1, 6, 3, 0, 0, 8, 6, 9, 3, 5, 9, 4, 3, 8, 3, 9, 6, 9, 3, 5, 9, 3, 6, 7, 5, 6, 3, 6, 0, 2, 4, 4, 0, 5, 8, 0, 7, 0, 5, 4, 8, 6, 5, 1, 8, 0, 7, 7, 7, 8, 7, 2, 3, 9, 1, 6, 3, 2, 3, 0, 1, 6, 6, 4, 2, 9, 6, 6, 4, 4, 7, 8, 4, 5, 9, 7, 1, 9
OFFSET
0,1
COMMENTS
See A198414 for a guide to related sequences. The Mathematica program includes a graph.
EXAMPLE
-0.3397076235270913032171630086935943839693...
MATHEMATICA
a = 3; b = 2; c = 1;
f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -.5, .1}]
r = x /. FindRoot[f[x] == g[x], {x, -.34, -.33}, WorkingPrecision -> 110]
RealDigits[r](* A198613 *)
CROSSREFS
Cf. A198414.
Sequence in context: A215665 A200494 A156164 * A197031 A375069 A065483
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Oct 28 2011
EXTENSIONS
Offset corrected by Georg Fischer, Aug 01 2021
STATUS
approved