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A199796 Decimal expansion of x>0 satisfying 3*x^2-x*cos(x)=2*sin(x). 2
8, 2, 1, 2, 9, 7, 2, 1, 5, 5, 5, 5, 7, 4, 6, 2, 4, 9, 3, 2, 3, 2, 7, 1, 2, 7, 6, 5, 3, 2, 9, 1, 5, 9, 2, 1, 8, 0, 7, 9, 1, 5, 5, 7, 7, 6, 3, 7, 3, 4, 0, 8, 0, 9, 1, 3, 2, 3, 6, 8, 5, 9, 7, 6, 1, 7, 8, 6, 4, 2, 0, 7, 8, 4, 0, 9, 9, 2, 3, 5, 4, 5, 4, 6, 0, 0, 4, 5, 9, 1, 3, 6, 1, 5, 7, 2, 2, 3, 8 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET
0,1
COMMENTS
See A199597 for a guide to related sequences. The Mathematica program includes a graph.
LINKS
EXAMPLE
x=0.8212972155557462493232712765329159218079155...
MATHEMATICA
a = 3; b = -1; c = 2;
f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, .82, .83}, WorkingPrecision -> 110]
RealDigits[r] (* A199796 *)
CROSSREFS
Cf. A199597.
Sequence in context: A164800 A011008 A010149 * A368300 A021553 A157472
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Nov 10 2011
STATUS
approved

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Last modified June 17 21:09 EDT 2024. Contains 373464 sequences. (Running on oeis4.)