A198917 Decimal expansion of x>0 satisfying 3*x^2+cos(x)=3.

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

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=0.8887472429317410305961061776524010...

Mathematica

a = 3; b = 1; c = 3;
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, .8, .9}, WorkingPrecision -> 110]
RealDigits[r] (* A198917 *)

Crossrefs

Cf. A198755.

Sequence in context: A023413 A188727 A361011 * A023414 A125555 A010531

Adjacent sequences: A198914 A198915 A198916 * A198918 A198919 A198920

Keyword

nonn,cons

Author

Clark Kimberling, Oct 31 2011

Status

approved