A199665 Decimal expansion of x>0 satisfying 3*x^2+x*cos(x)=4*sin(x).

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

Offset

0,1

Comments

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

Links

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

Example

x=0.947972647889814244042050696197550223400...

Mathematica

a = 3; b = 1; c = 4;
f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -1, 1.5}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, .94, .95}, WorkingPrecision -> 110]
RealDigits[r]  (* A199665 *)

Crossrefs

Cf. A199597.

Sequence in context: A065466 A122790 A288241 * A113273 A011460 A196522

Adjacent sequences: A199662 A199663 A199664 * A199666 A199667 A199668

Keyword

nonn,cons

Author

Clark Kimberling, Nov 09 2011

Status

approved