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A199472
Decimal expansion of x>0 satisfying 2*x^2-x*sin(x)=2*cos(x).
2
9, 8, 1, 6, 9, 4, 7, 0, 9, 7, 8, 6, 9, 3, 6, 6, 7, 9, 9, 9, 4, 0, 7, 2, 2, 4, 2, 9, 8, 8, 2, 1, 1, 1, 6, 5, 4, 1, 3, 3, 7, 7, 7, 6, 7, 8, 4, 0, 4, 1, 5, 1, 8, 0, 5, 2, 1, 8, 3, 3, 9, 4, 1, 7, 9, 8, 6, 8, 2, 1, 4, 7, 8, 4, 8, 1, 7, 8, 9, 2, 1, 0, 5, 5, 4, 9, 0, 9, 7, 8, 5, 6, 7, 2, 2, 1, 1, 3, 2
OFFSET
0,1
COMMENTS
See A199429 for a guide to related sequences. The Mathematica program includes a graph.
EXAMPLE
x=0.981694709786936679994072242988211165413377767840...
MATHEMATICA
a = 2; b = -1; c = 2;
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, .98, .99}, WorkingPrecision -> 110]
RealDigits[r] (* A199472 *)
CROSSREFS
Cf. A199429.
Sequence in context: A053004 A019888 A154975 * A008570 A244978 A114864
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Nov 07 2011
STATUS
approved