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A199389
Decimal expansion of x>0 satisfying 3*x^2+x*sin(x)=3.
1
8, 7, 9, 7, 8, 0, 6, 2, 6, 6, 2, 1, 0, 3, 3, 4, 8, 6, 7, 1, 5, 9, 0, 0, 2, 7, 0, 5, 5, 5, 0, 2, 6, 6, 9, 9, 6, 2, 3, 7, 9, 2, 8, 8, 5, 5, 9, 9, 9, 1, 1, 9, 2, 4, 8, 0, 8, 0, 5, 6, 6, 2, 1, 7, 2, 3, 9, 3, 9, 6, 7, 2, 7, 6, 5, 3, 0, 3, 1, 7, 7, 6, 4, 8, 1, 1, 9, 1, 5, 2, 1, 3, 8, 9, 2, 1, 2, 7, 8
OFFSET
0,1
COMMENTS
See A199370 for a guide to related sequences. The Mathematica program includes a graph.
EXAMPLE
x=0.8797806266210334867159002705550266996237...
MATHEMATICA
a = 3; b = 1; c = 3;
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, .87, .88}, WorkingPrecision -> 110]
RealDigits[r] (* A199389 *)
CROSSREFS
Cf. A199370.
Sequence in context: A332437 A242968 A021536 * A256490 A197688 A094082
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Nov 06 2011
STATUS
approved