A199465 Decimal expansion of greatest x satisfying x^2-3*x*sin(x)=-2*cos(x).

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

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=2.4798161675807526991568674460343442932...

Mathematica

a = 1; b = -3; c = -2;
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, 2.47, 2.48}, WorkingPrecision -> 110]
RealDigits[r]  (* A199465 greatest root *)

Crossrefs

Cf. A199429.

Sequence in context: A370003 A071790 A366114 * A288305 A081249 A327217

Adjacent sequences: A199462 A199463 A199464 * A199466 A199467 A199468

Keyword

nonn,cons

Author

Clark Kimberling, Nov 07 2011

Status

approved