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A199730
Decimal expansion of x>0 satisfying x^2-3*x*cos(x)=sin(x).
2
1, 3, 5, 6, 9, 2, 0, 0, 6, 2, 3, 6, 1, 3, 7, 1, 8, 4, 4, 2, 2, 5, 1, 0, 3, 4, 8, 6, 3, 3, 7, 3, 9, 6, 5, 4, 6, 2, 4, 7, 3, 4, 9, 1, 7, 2, 6, 7, 2, 4, 4, 4, 8, 6, 3, 3, 6, 7, 0, 9, 2, 9, 2, 5, 2, 1, 6, 1, 5, 6, 1, 8, 7, 2, 8, 0, 4, 4, 8, 2, 8, 9, 4, 3, 7, 5, 7, 3, 7, 2, 4, 8, 0, 7, 5, 1, 2, 9, 3
OFFSET
1,2
COMMENTS
See A199597 for a guide to related sequences. The Mathematica program includes a graph.
EXAMPLE
x=1.3569200623613718442251034863373965462473491...
MATHEMATICA
a = 1; b = -3; c = 1;
f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -2 Pi, Pi}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, 1.35, 1.36}, WorkingPrecision -> 110]
RealDigits[r] (* A199730 *)
CROSSREFS
Cf. A199597.
Sequence in context: A308051 A261028 A195481 * A016612 A245739 A199187
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Nov 09 2011
STATUS
approved