A198826 Decimal expansion of x>0 satisfying x^2-3*cos(x)=1.

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

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=1.32038335694396264748163530217682949655...

Mathematica

a = 1; b = -3; c = 1;
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, 1.3, 1.33}, WorkingPrecision -> 110]
RealDigits[r]  (* A198826 *)

Crossrefs

Cf. A198755.

Sequence in context: A131732 A307681 A331922 * A088161 A005874 A275622

Adjacent sequences: A198823 A198824 A198825 * A198827 A198828 A198829

Keyword

nonn,cons

Author

Clark Kimberling, Oct 30 2011

Status

approved