A198924 Decimal expansion of x>0 satisfying 3*x^2-cos(x)=2.

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

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..102.

Example

x=0.930490970493622756584628066970834799...

Mathematica

a = 3; b = -1; c = 2;
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, .93, .94}, WorkingPrecision -> 110]
RealDigits[r] (* A198924 *)

Crossrefs

Cf. A198755.

Sequence in context: A368982 A254666 A094127 * A199605 A021522 A154901

Adjacent sequences: A198921 A198922 A198923 * A198925 A198926 A198927

Keyword

nonn,cons

Author

Clark Kimberling, Oct 31 2011

Status

approved