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A199391
Decimal expansion of x>0 satisfying 3*x^2+2*x*sin(x)=2.
1
6, 4, 1, 1, 1, 9, 3, 6, 3, 7, 7, 9, 7, 5, 0, 6, 6, 4, 3, 8, 3, 1, 3, 2, 0, 4, 6, 0, 5, 7, 2, 6, 0, 2, 2, 8, 8, 3, 8, 4, 5, 3, 4, 0, 9, 1, 0, 2, 7, 9, 8, 9, 6, 9, 2, 1, 4, 9, 7, 2, 2, 8, 3, 0, 1, 0, 5, 9, 6, 2, 4, 7, 5, 3, 4, 4, 2, 4, 2, 2, 8, 0, 4, 3, 2, 1, 4, 8, 2, 2, 9, 0, 0, 4, 0, 0, 4, 3, 1
OFFSET
0,1
COMMENTS
See A199370 for a guide to related sequences. The Mathematica program includes a graph.
EXAMPLE
x=0.64111936377975066438313204605726022883845...
MATHEMATICA
a = 3; b = 2; c = 2;
f[x_] := a*x^2 + b*x*Sin[x]; g[x_] := c
Plot[{f[x], g[x]}, {x, -1, Pi}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, .64, .65}, WorkingPrecision -> 110]
RealDigits[r] (* A199391 *)
CROSSREFS
Cf. A199370.
Sequence in context: A354887 A357016 A060780 * A106333 A104748 A117335
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Nov 06 2011
STATUS
approved