A199390 Decimal expansion of x>0 satisfying 3*x^2+2*x*sin(x)=1.

4, 5, 0, 2, 3, 5, 3, 1, 6, 4, 0, 0, 3, 2, 0, 4, 4, 6, 9, 8, 0, 7, 5, 5, 7, 4, 5, 3, 7, 6, 0, 7, 5, 4, 9, 5, 0, 4, 8, 6, 0, 6, 9, 0, 2, 8, 4, 7, 2, 6, 6, 4, 8, 6, 1, 4, 5, 6, 6, 2, 4, 1, 2, 5, 1, 3, 8, 1, 4, 5, 4, 2, 4, 3, 0, 1, 2, 2, 0, 7, 1, 4, 4, 5, 5, 7, 5, 2, 8, 3, 1, 8, 7, 5, 1, 0, 7, 4, 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=0.45023531640032044698075574537607549504860690...

Mathematica

a = 3; b = 2; c = 1;
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, .45, .46}, WorkingPrecision -> 110]
RealDigits[r]   (* A199390 *)

Crossrefs

Cf. A199370.

Sequence in context: A075424 A200619 A199621 * A270914 A048837 A353450

Adjacent sequences: A199387 A199388 A199389 * A199391 A199392 A199393

Keyword

nonn,cons

Author

Clark Kimberling, Nov 06 2011

Status

approved