A198927 Decimal expansion of x>0 satisfying 3*x^2-2*cos(x)=-1.

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

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..98.

Example

x=0.5013030397551248783221207956886476471815...

Mathematica

a = 3; b = -2; c = -1;
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, .5, .51}, WorkingPrecision -> 110]
RealDigits[r]  (* A198927 *)

Crossrefs

Cf. A198755.

Sequence in context: A371940 A058064 A316568 * A198100 A104112 A115635

Adjacent sequences: A198924 A198925 A198926 * A198928 A198929 A198930

Keyword

nonn,cons

Author

Clark Kimberling, Oct 31 2011

Status

approved