

A199793


Decimal expansion of x > 0 satisfying 3*x^2  2*x*cos(x) = sin(x).


2



7, 7, 6, 4, 4, 3, 1, 0, 8, 9, 0, 3, 8, 3, 8, 1, 0, 1, 9, 0, 9, 6, 6, 9, 9, 4, 9, 1, 6, 2, 9, 8, 2, 8, 8, 7, 9, 1, 8, 0, 0, 5, 1, 4, 7, 8, 0, 9, 6, 9, 7, 4, 8, 0, 0, 4, 9, 6, 7, 4, 3, 2, 3, 2, 8, 0, 2, 5, 3, 5, 0, 0, 9, 6, 6, 9, 9, 4, 8, 0, 5, 6, 9, 3, 4, 9, 4, 0, 5, 2, 8, 4, 9, 8, 9, 3, 2, 7, 5
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OFFSET

0,1


COMMENTS

See A199597 for a guide to related sequences. The Mathematica program includes a graph.


LINKS



EXAMPLE

0.77644310890383810190966994916298288791800514780...


MATHEMATICA

a = 3; b = 2; c = 1;
f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, 1, 2}, {AxesOrigin > {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, .77, .78}, WorkingPrecision > 110]


CROSSREFS



KEYWORD



AUTHOR



EXTENSIONS



STATUS

approved



