A198933 Decimal expansion of x>0 satisfying 3*x^2-3*cos(x)=1.

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

Offset

0,1

Comments

See A198755 for a guide to related sequences. The Mathematica program includes a graph.

Links

Table of n, a(n) for n=0..98.

Example

x=0.954602719154736214399680822625486480859...

Mathematica

a = 3; b = -3; c = 1;
f[x_] := a*x^2 + b*Cos[x]; g[x_] := c
Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, .95, .96}, WorkingPrecision -> 110]
RealDigits[r] (* A198933 *)

Crossrefs

Cf. A198755.

Sequence in context: A245294 A110894 A359282 * A353772 A259148 A089491

Adjacent sequences: A198930 A198931 A198932 * A198934 A198935 A198936

Keyword

nonn,cons

Author

Clark Kimberling, Nov 01 2011

Status

approved