A199468 Decimal expansion of x>0 satisfying x^2-3*x*sin(x)=cos(x).

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

Offset

1,1

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=2.18598599678622737334543359635770015733...

Mathematica

a = 1; b = -3; c = 1;
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, 2.18, 2.19}, WorkingPrecision -> 110]
RealDigits[r]  (* A199468 *)

Crossrefs

Cf. A199429.

Sequence in context: A193907 A298592 A344163 * A337684 A004732 A297809

Adjacent sequences: A199465 A199466 A199467 * A199469 A199470 A199471

Keyword

nonn,cons

Author

Clark Kimberling, Nov 07 2011

Status

approved