A199431 Decimal expansion of x>0 satisfying x^2+x*sin(x)=3*cos(x).

9, 6, 2, 1, 7, 9, 5, 0, 5, 1, 0, 9, 3, 2, 7, 0, 9, 1, 3, 6, 7, 2, 6, 2, 7, 5, 4, 4, 1, 0, 8, 5, 1, 4, 7, 3, 3, 2, 1, 7, 9, 1, 7, 9, 2, 7, 5, 3, 1, 4, 6, 2, 3, 2, 0, 8, 9, 1, 7, 3, 6, 1, 0, 9, 6, 5, 9, 2, 9, 2, 6, 7, 6, 7, 3, 3, 9, 1, 6, 4, 7, 0, 7, 2, 3, 6, 8, 1, 3, 5, 7, 6, 6, 0, 3, 4, 9, 0, 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=0.962179505109327091367262754410851473321791...

Mathematica

a = 1; b = 1; c = 3;
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, .96, .97}, WorkingPrecision -> 110]
RealDigits[r]  (* A199431 *)

Crossrefs

Cf. A199429.

Sequence in context: A355333 A089479 A269444 * A154899 A335563 A011219

Adjacent sequences: A199428 A199429 A199430 * A199432 A199433 A199434

Keyword

nonn,cons

Author

Clark Kimberling, Nov 06 2011

Status

approved