A199388 Decimal expansion of x>0 satisfying 3*x^2+x*sin(x)=2.

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

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=0.71455479960847703912239856477082598485759874...

Mathematica

a = 3; b = 1; 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, .71, .72}, WorkingPrecision -> 110]
RealDigits[r]    (* A199388 *)

Crossrefs

Cf. A199370.

Sequence in context: A183031 A021018 A010145 * A201750 A198825 A073008

Adjacent sequences: A199385 A199386 A199387 * A199389 A199390 A199391

Keyword

nonn,cons

Author

Clark Kimberling, Nov 06 2011

Status

approved