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A199441
Decimal expansion of x>0 satisfying 2*x^2+2*x*sin(x)=cos(x).
2
4, 7, 5, 8, 6, 6, 7, 2, 9, 0, 6, 6, 6, 2, 1, 5, 0, 2, 4, 7, 2, 6, 1, 5, 9, 3, 5, 6, 1, 9, 9, 6, 7, 8, 8, 9, 6, 8, 0, 2, 4, 4, 2, 6, 3, 8, 8, 7, 0, 0, 4, 2, 3, 3, 5, 0, 8, 3, 9, 5, 3, 4, 2, 6, 5, 5, 1, 3, 6, 2, 4, 0, 7, 5, 2, 8, 5, 1, 4, 0, 3, 7, 9, 4, 5, 4, 5, 3, 1, 3, 0, 6, 4, 7, 2, 6, 0, 4, 2
OFFSET
0,1
COMMENTS
See A199370 for a guide to related sequences. The Mathematica program includes a graph.
EXAMPLE
x=0.4758667290666215024726159356199678896802442...
MATHEMATICA
a = 2; b = 2; c = 1;
f[x_] := a*x^2 + b*x*Sin[x]; g[x_] := c*Cos[x]
Plot[{f[x], g[x]}, {x, -Pi, Pi}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, .47, .48}, WorkingPrecision -> 110]
RealDigits[r] (* A199441 *)
CROSSREFS
Cf. A199429.
Sequence in context: A358924 A086203 A248867 * A196566 A197566 A237198
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Nov 06 2011
STATUS
approved