A198813 Decimal expansion of x>0 satisfying x^2+3*cos(x)=4.

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

Offset

1,1

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=2.5463907758028887768561727093936128950373...

Mathematica

a = 1; b = 3; c = 4;
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, 2.5, 2.6}, WorkingPrecision -> 110]
RealDigits[r] (* A198813 *)

Crossrefs

Cf. A198755.

Sequence in context: A290886 A163809 A075771 * A217469 A132698 A358181

Adjacent sequences: A198810 A198811 A198812 * A198814 A198815 A198816

Keyword

nonn,cons

Author

Clark Kimberling, Oct 30 2011

Status

approved