A199469 Decimal expansion of x>0 satisfying x^2-3*x*sin(x)=2*cos(x).

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

Offset

1,1

Comments

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

Links

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

Example

x=2.10283686091410470147276851182470222999...

Mathematica

a = 1; b = -3; c = 2;
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, 2.1, 2.2}, WorkingPrecision -> 110]
RealDigits[r]  (* A199469 *)

Crossrefs

Cf. A199429.

Sequence in context: A318931 A266878 A339780 * A266832 A373570 A307772

Adjacent sequences: A199466 A199467 A199468 * A199470 A199471 A199472

Keyword

nonn,cons

Author

Clark Kimberling, Nov 07 2011

Status

approved