login
A199390
Decimal expansion of x>0 satisfying 3*x^2+2*x*sin(x)=1.
1
4, 5, 0, 2, 3, 5, 3, 1, 6, 4, 0, 0, 3, 2, 0, 4, 4, 6, 9, 8, 0, 7, 5, 5, 7, 4, 5, 3, 7, 6, 0, 7, 5, 4, 9, 5, 0, 4, 8, 6, 0, 6, 9, 0, 2, 8, 4, 7, 2, 6, 6, 4, 8, 6, 1, 4, 5, 6, 6, 2, 4, 1, 2, 5, 1, 3, 8, 1, 4, 5, 4, 2, 4, 3, 0, 1, 2, 2, 0, 7, 1, 4, 4, 5, 5, 7, 5, 2, 8, 3, 1, 8, 7, 5, 1, 0, 7, 4, 8
OFFSET
0,1
COMMENTS
See A199370 for a guide to related sequences. The Mathematica program includes a graph.
EXAMPLE
x=0.45023531640032044698075574537607549504860690...
MATHEMATICA
a = 3; b = 2; c = 1;
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, .45, .46}, WorkingPrecision -> 110]
RealDigits[r] (* A199390 *)
CROSSREFS
Cf. A199370.
Sequence in context: A075424 A200619 A199621 * A270914 A048837 A353450
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Nov 06 2011
STATUS
approved