A199467 Decimal expansion of greatest x satisfying x=3*sin(x).

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

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=2.2788626600758283126999511045618886288...

Mathematica

a = 1; b = -3; c = 0;
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, 2.27, 2.28}, WorkingPrecision -> 110]
RealDigits[r]  (* A199467 *)

Crossrefs

Cf. A199429.

Sequence in context: A230384 A151864 A019732 * A168160 A005300 A019087

Adjacent sequences: A199464 A199465 A199466 * A199468 A199469 A199470

Keyword

nonn,cons

Author

Clark Kimberling, Nov 07 2011

Status

approved