A199668 Decimal expansion of x>0 satisfying 3*x^2+2*x*cos(x)=3*sin(x).

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

Offset

0,1

Comments

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

Links

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

Example

x=0.3539044590707670096900071027246646469912...

Mathematica

a = 3; b = 2; c = 3;
f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -1, 1}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, .35, .36}, WorkingPrecision -> 110]
RealDigits[r]  (* A199668 *)

Crossrefs

Cf. A199597.

Sequence in context: A231641 A099446 A198827 * A318377 A186203 A002633

Adjacent sequences: A199665 A199666 A199667 * A199669 A199670 A199671

Keyword

nonn,cons

Author

Clark Kimberling, Nov 09 2011

Status

approved