A198820 Decimal expansion of x>0 satisfying 2*x^2+cos(x)=2.

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

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..102.

Example

x=0.8093245699460672085363297141907319059600...

Mathematica

a = 2; b = 1; c = 2;
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, .81}, WorkingPrecision -> 110]
RealDigits[r] (* A198820 *)

Crossrefs

Cf. A198755.

Sequence in context: A350747 A243456 A246772 * A138285 A085291 A109219

Adjacent sequences: A198817 A198818 A198819 * A198821 A198822 A198823

Keyword

nonn,cons

Author

Clark Kimberling, Oct 31 2011

Status

approved