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A199728 Decimal expansion of x>0 satisfying x^2-3*x*cos(x)=3*sin(x). 2
1, 6, 3, 5, 6, 8, 8, 7, 5, 1, 1, 5, 4, 1, 1, 0, 1, 7, 9, 7, 7, 8, 6, 1, 4, 4, 1, 8, 0, 3, 7, 7, 9, 0, 9, 4, 8, 4, 0, 9, 9, 5, 7, 9, 5, 1, 2, 3, 6, 0, 7, 1, 2, 7, 8, 3, 2, 8, 3, 6, 7, 8, 3, 3, 6, 7, 9, 0, 7, 1, 7, 4, 8, 1, 6, 2, 8, 8, 7, 4, 5, 8, 1, 5, 6, 0, 2, 3, 7, 3, 3, 8, 9, 0, 7, 7, 6, 1, 8 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
See A199597 for a guide to related sequences. The Mathematica program includes a graph.
LINKS
EXAMPLE
x=1.635688751154110179778614418037790948409...
MATHEMATICA
a = 1; b = -3; c = 3;
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, 1.63, 1.64}, WorkingPrecision -> 110]
RealDigits[r] (* A199728 *)
CROSSREFS
Cf. A199597.
Sequence in context: A195482 A298529 A245273 * A199867 A171030 A294386
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Nov 09 2011
STATUS
approved

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Last modified March 29 11:45 EDT 2024. Contains 371278 sequences. (Running on oeis4.)