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A199379
Decimal expansion of x>0 satisfying 2*x^2+x*sin(x)=1.
2
5, 8, 2, 7, 8, 1, 0, 7, 2, 5, 1, 9, 8, 0, 9, 7, 6, 1, 0, 6, 7, 1, 4, 0, 6, 0, 6, 2, 2, 3, 0, 5, 7, 2, 5, 4, 5, 3, 9, 9, 5, 2, 7, 7, 4, 4, 8, 6, 2, 8, 8, 8, 0, 0, 5, 1, 3, 3, 2, 8, 7, 1, 9, 4, 1, 4, 4, 6, 5, 4, 3, 9, 2, 8, 8, 0, 3, 9, 7, 3, 8, 7, 4, 7, 5, 6, 2, 2, 5, 0, 7, 1, 4, 6, 4, 3, 1, 2, 5
OFFSET
0,1
COMMENTS
See A199370 for a guide to related sequences. The Mathematica program includes a graph.
EXAMPLE
x=0.58278107251980976106714060622305725453...
MATHEMATICA
a = 2; b = 1; c = 1;
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, .58, .59}, WorkingPrecision -> 110]
RealDigits[r] (* A199379 *)
CROSSREFS
Cf. A199370.
Sequence in context: A238166 A227417 A260061 * A198844 A156035 A284697
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Nov 05 2011
STATUS
approved