A199464 Decimal expansion of greatest x satisfying x^2-3*x*sin(x)=-3*cos(x).

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

Offset

1,3

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=1.02065194455071428179208010985825740916...

Mathematica

a = 1; b = -3; c = -3;
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, 1.71, 1.72}, WorkingPrecision -> 110]
RealDigits[r]  (* A199464 greatest root *)

Crossrefs

Cf. A199429.

Sequence in context: A088508 A142457 A100711 * A189961 A211241 A140247

Adjacent sequences: A199461 A199462 A199463 * A199465 A199466 A199467

Keyword

nonn,cons

Author

Clark Kimberling, Nov 07 2011

Status

approved