A199602 Decimal expansion of x>0 satisfying x^2+2*x*cos(x)=4*sin(x).

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

Offset

1,1

Comments

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

Links

Table of n, a(n) for n=1..99.

Example

x=2.54009241804274736385079439399483437...

Mathematica

a = 1; b = 2; c = 4;
f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -Pi, Pi}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, 2.5, 2.6}, WorkingPrecision -> 110]
RealDigits[r]   (* A199602 *)

Crossrefs

Cf. A199597.

Sequence in context: A077073 A307126 A191474 * A324057 A106315 A285295

Adjacent sequences: A199599 A199600 A199601 * A199603 A199604 A199605

Keyword

nonn,cons

Author

Clark Kimberling, Nov 08 2011

Status

approved