A198812 Decimal expansion of x>0 satisfying x^2+3*cos(x)=3.

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

Offset

1,1

Comments

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

Links

Table of n, a(n) for n=1..99.

Example

x=2.160819458108395544947687763508348335982360176...

Mathematica

a = 1; b = 3; c = 3;
f[x_] := a*x^2 + b*Cos[x]; g[x_] := c
Plot[{f[x], g[x]}, {x, -3, 3}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, 2.1, 2.2}, WorkingPrecision -> 110]
RealDigits[r] (* A198812 *)

Crossrefs

Cf. A198755.

Sequence in context: A175591 A187784 A370901 * A155183 A211173 A376117

Adjacent sequences: A198809 A198810 A198811 * A198813 A198814 A198815

Keyword

nonn,cons

Author

Clark Kimberling, Oct 30 2011

Status

approved