A199447 Decimal expansion of x>0 satisfying 3*x^2+x*sin(x)=2*cos(x).

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

Offset

0,1

Comments

See A199370 for a guide to related sequences. The Mathematica program includes a graph.

Links

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

Example

x=0.6388903039509508091647929136630634369059392300...

Mathematica

a = 3; 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, .63, .64}, WorkingPrecision -> 110]
RealDigits[r] (* A199447 *)

Crossrefs

Cf. A199429.

Sequence in context: A179559 A086648 A268893 * A273067 A306774 A301429

Adjacent sequences: A199444 A199445 A199446 * A199448 A199449 A199450

Keyword

nonn,cons

Author

Clark Kimberling, Nov 06 2011

Status

approved