A199377 Decimal expansion of x>0 satisfying x^2+3*x*sin(x)=2.

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

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=0.731306072699480616860557106422881949943444...

Mathematica

a = 1; b = 3; c = 2;
f[x_] := a*x^2 + b*x*Sin[x]; g[x_] := c
Plot[{f[x], g[x]}, {x, -1, 2 Pi}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, .73, .74}, WorkingPrecision -> 110]
RealDigits[r]  (* A199377 *)

Crossrefs

Cf. A199370.

Sequence in context: A078075 A067616 A348992 * A213806 A019856 A124603

Adjacent sequences: A199374 A199375 A199376 * A199378 A199379 A199380

Keyword

nonn,cons

Author

Clark Kimberling, Nov 05 2011

Status

approved