A199458 Decimal expansion of greatest x satisfying x^2-2*x*sin(x)=-2*cos(x).

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

Offset

1,1

Comments

See A199370 for a guide to related sequences. The Mathematica program includes a graph.

Links

Table of n, a(n) for n=1..99.

Example

x=2.17085339994426846618296778962453899318773...

Mathematica

a = 1; b = -2; 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, 2.17, 2.18}, WorkingPrecision -> 110]
RealDigits[r]  (* A199458 greatest root *)

Crossrefs

Cf. A199429.

Sequence in context: A103114 A004561 A255984 * A287480 A287755 A051258

Adjacent sequences: A199455 A199456 A199457 * A199459 A199460 A199461

Keyword

nonn,cons

Author

Clark Kimberling, Nov 06 2011

Status

approved