A199664 Decimal expansion of x > 0 satisfying 3*x^2 + x*cos(x) = 3*sin(x).

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

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=0.6655990773306761525052651922688530...

Mathematica

a = 3; b = 1; c = 3;
f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -1, 1.5}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, .66, .67}, WorkingPrecision -> 110]
RealDigits[r]   (* A199664 *)

Crossrefs

Cf. A199597.

Sequence in context: A101801 A350362 A351120 * A019180 A019103 A272619

Adjacent sequences: A199661 A199662 A199663 * A199665 A199666 A199667

Keyword

nonn,cons

Author

Clark Kimberling, Nov 09 2011

Extensions

a(88) onwards corrected by Georg Fischer, Aug 03 2021

Status

approved