A199385 Decimal expansion of x>0 satisfying 2*x^2+3*x*sin(x)=2.

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

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=0.64578057531633754175606688826273632459557517500...

Mathematica

a = 2; 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, .64, .65}, WorkingPrecision -> 110]
RealDigits[r]   (* A199385 *)

Crossrefs

Cf. A199370.

Sequence in context: A130786 A197295 A372995 * A177159 A361605 A356479

Adjacent sequences: A199382 A199383 A199384 * A199386 A199387 A199388

Keyword

nonn,cons

Author

Clark Kimberling, Nov 06 2011

Status

approved