A199455 Decimal expansion of x>0 satisfying x^2-x*sin(x)=2*cos(x).

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

Offset

1,2

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=1.3299032684690480269887796580804060825373320...

Mathematica

a = 1; b = -1; 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, 1.32, 1.33}, WorkingPrecision -> 110]
RealDigits[r] (* A199455 *)

Crossrefs

Cf. A199429.

Sequence in context: A356185 A010372 A374299 * A287768 A197831 A244995

Adjacent sequences: A199452 A199453 A199454 * A199456 A199457 A199458

Keyword

nonn,cons

Author

Clark Kimberling, Nov 06 2011

Status

approved