A199391 Decimal expansion of x>0 satisfying 3*x^2+2*x*sin(x)=2.

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

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=0.64111936377975066438313204605726022883845...

Mathematica

a = 3; b = 2; c = 2;
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, .64, .65}, WorkingPrecision -> 110]
RealDigits[r]  (* A199391 *)

Crossrefs

Cf. A199370.

Sequence in context: A354887 A357016 A060780 * A106333 A104748 A117335

Adjacent sequences: A199388 A199389 A199390 * A199392 A199393 A199394

Keyword

nonn,cons

Author

Clark Kimberling, Nov 06 2011

Status

approved