A198829 Decimal expansion of x>0 satisfying x^2-3*cos(x)=3.

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

Offset

1,2

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=1.65637485745093891418734994041767110200743694100...

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, 1.65, 1.66}, WorkingPrecision -> 110]
RealDigits[r]  (* A198829 *)

Crossrefs

Cf. A198755.

Sequence in context: A246673 A220190 A231738 * A217170 A064844 A242723

Adjacent sequences: A198826 A198827 A198828 * A198830 A198831 A198832

Keyword

nonn,cons

Author

Clark Kimberling, Oct 30 2011

Status

approved