A199389 Decimal expansion of x>0 satisfying 3*x^2+x*sin(x)=3.

8, 7, 9, 7, 8, 0, 6, 2, 6, 6, 2, 1, 0, 3, 3, 4, 8, 6, 7, 1, 5, 9, 0, 0, 2, 7, 0, 5, 5, 5, 0, 2, 6, 6, 9, 9, 6, 2, 3, 7, 9, 2, 8, 8, 5, 5, 9, 9, 9, 1, 1, 9, 2, 4, 8, 0, 8, 0, 5, 6, 6, 2, 1, 7, 2, 3, 9, 3, 9, 6, 7, 2, 7, 6, 5, 3, 0, 3, 1, 7, 7, 6, 4, 8, 1, 1, 9, 1, 5, 2, 1, 3, 8, 9, 2, 1, 2, 7, 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=0.8797806266210334867159002705550266996237...

Mathematica

a = 3; b = 1; 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, .87, .88}, WorkingPrecision -> 110]
RealDigits[r]   (* A199389 *)

Crossrefs

Cf. A199370.

Sequence in context: A332437 A242968 A021536 * A256490 A197688 A094082

Adjacent sequences: A199386 A199387 A199388 * A199390 A199391 A199392

Keyword

nonn,cons

Author

Clark Kimberling, Nov 06 2011

Status

approved