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A199456
Decimal expansion of x>0 satisfying x^2-x*sin(x) = 3*cos(x).
2
1, 3, 8, 4, 3, 5, 8, 2, 8, 9, 1, 3, 5, 1, 7, 5, 4, 3, 2, 1, 7, 1, 1, 4, 0, 9, 2, 1, 1, 2, 3, 7, 8, 6, 4, 7, 7, 9, 8, 9, 4, 3, 2, 7, 1, 7, 7, 2, 0, 4, 0, 1, 9, 5, 6, 2, 7, 5, 3, 6, 0, 1, 8, 6, 6, 4, 4, 5, 4, 4, 2, 0, 7, 7, 0, 4, 3, 4, 1, 4, 9, 3, 4, 2, 3, 3, 8, 3, 1, 6, 7, 3, 8, 6, 7, 7, 3, 3, 7
OFFSET
1,2
COMMENTS
See A199429 for a guide to related sequences. The Mathematica program includes a graph.
EXAMPLE
x = 1.384358289135175432171140921123786477989432717720...
MATHEMATICA
a = 1; b = -1; c = 3;
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, 1.38, 1.39}, WorkingPrecision -> 110]
RealDigits[r] (* A199456 *)
CROSSREFS
Cf. A199429.
Sequence in context: A021967 A093524 A200343 * A375367 A242030 A105722
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Nov 06 2011
STATUS
approved