A198828 Decimal expansion of x>0 satisfying x^2-3*cos(x)=2.

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

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=1.49368665783465257664879079922390571614111...

Mathematica

a = 1; b = -3; c = 2;
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, 1.49, 1.5}, WorkingPrecision -> 110]
RealDigits[r] (* A198828 *)

Crossrefs

Cf. A198755.

Sequence in context: A200416 A199178 A318331 * A200369 A226094 A292340

Adjacent sequences: A198825 A198826 A198827 * A198829 A198830 A198831

Keyword

nonn,cons

Author

Clark Kimberling, Oct 30 2011

Status

approved