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A199377
Decimal expansion of x>0 satisfying x^2+3*x*sin(x)=2.
2
7, 3, 1, 3, 0, 6, 0, 7, 2, 6, 9, 9, 4, 8, 0, 6, 1, 6, 8, 6, 0, 5, 5, 7, 1, 0, 6, 4, 2, 2, 8, 8, 1, 9, 4, 9, 9, 4, 3, 4, 4, 4, 5, 0, 8, 8, 9, 0, 1, 4, 8, 9, 2, 6, 0, 2, 0, 0, 4, 4, 3, 1, 9, 6, 9, 7, 5, 9, 7, 8, 8, 3, 8, 1, 3, 5, 6, 3, 5, 4, 1, 3, 4, 6, 0, 2, 2, 8, 2, 9, 3, 8, 5, 0, 1, 6, 6, 4, 5
OFFSET
0,1
COMMENTS
See A199370 for a guide to related sequences. The Mathematica program includes a graph.
EXAMPLE
x=0.731306072699480616860557106422881949943444...
MATHEMATICA
a = 1; b = 3; c = 2;
f[x_] := a*x^2 + b*x*Sin[x]; g[x_] := c
Plot[{f[x], g[x]}, {x, -1, 2 Pi}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, .73, .74}, WorkingPrecision -> 110]
RealDigits[r] (* A199377 *)
CROSSREFS
Cf. A199370.
Sequence in context: A078075 A067616 A348992 * A213806 A019856 A124603
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Nov 05 2011
STATUS
approved