A199508 Decimal expansion of x>0 satisfying 3*x^2-2*x*sin(x)=cos(x).

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

Offset

0,1

Comments

See A199429 for a guide to related sequences. The Mathematica program includes a graph.

Links

Table of n, a(n) for n=0..98.

Example

x=0.773981117427467177521657303986725303016750...

Mathematica

a = 3; b = -2; c = 1;
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, .77, .78}, WorkingPrecision -> 110]
RealDigits[r]   (* A199508 *)

Crossrefs

Cf. A199429.

Sequence in context: A233699 A220052 A153204 * A378003 A136478 A097903

Adjacent sequences: A199505 A199506 A199507 * A199509 A199510 A199511

Keyword

nonn,cons

Author

Clark Kimberling, Nov 07 2011

Status

approved