A199383 Decimal expansion of x>0 satisfying 2*x^2+2*x*sin(x)=3.

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

Offset

0,1

Comments

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

Links

Table of n, a(n) for n=0..98.

Example

x=0.89521974443582001297087274636196596748905653...

Mathematica

a = 2; b = 2; c = 3;
f[x_] := a*x^2 + b*x*Sin[x]; g[x_] := c
Plot[{f[x], g[x]}, {x, -1, Pi}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, .89, .90}, WorkingPrecision -> 110]
RealDigits[r]    (* A199383 *)

Crossrefs

Cf. A199370.

Sequence in context: A091725 A029689 A201294 * A199460 A245772 A190289

Adjacent sequences: A199380 A199381 A199382 * A199384 A199385 A199386

Keyword

nonn,cons

Author

Clark Kimberling, Nov 05 2011

Status

approved