A199393 Decimal expansion of x>0 satisfying 3*x^2+3*x*sin(x)=1.

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

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=0.4111295215026004685742786471691841289309811...

Mathematica

a = 3; b = 3; 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, .41, .42}, WorkingPrecision -> 110]
RealDigits[r]  (* A199393 *)

Crossrefs

Cf. A199370.

Sequence in context: A103163 A128211 A348986 * A010327 A134835 A321592

Adjacent sequences: A199390 A199391 A199392 * A199394 A199395 A199396

Keyword

nonn,cons

Author

Clark Kimberling, Nov 06 2011

Status

approved