A199395 Decimal expansion of x>0 satisfying 3*x^2+3*x*sin(x)=2.

5, 8, 5, 6, 3, 5, 4, 7, 6, 4, 9, 1, 1, 1, 7, 7, 7, 8, 2, 0, 0, 5, 9, 9, 5, 4, 4, 5, 5, 9, 5, 9, 2, 3, 2, 4, 9, 0, 9, 9, 8, 7, 7, 8, 4, 7, 4, 5, 6, 3, 3, 2, 8, 8, 2, 7, 8, 4, 2, 1, 7, 7, 4, 8, 8, 1, 2, 4, 5, 4, 0, 1, 1, 4, 7, 5, 5, 0, 2, 1, 7, 2, 6, 1, 5, 7, 1, 7, 0, 6, 6, 5, 0, 2, 1, 1, 2, 9, 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=0.585635476491117778200599544559592324909987784745...

Mathematica

a = 3; b = 3; 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, .58, .59}, WorkingPrecision -> 110]
RealDigits[r]   (* A199395 *)

Crossrefs

Cf. A199370.

Sequence in context: A171541 A306204 A178331 * A366163 A358630 A100610

Adjacent sequences: A199392 A199393 A199394 * A199396 A199397 A199398

Keyword

nonn,cons

Author

Clark Kimberling, Nov 06 2011

Status

approved