A198839 Decimal expansion of x>0 satisfying x^2-4*cos(x)=2.

1, 5, 0, 4, 7, 1, 0, 1, 0, 6, 8, 5, 0, 9, 4, 5, 4, 9, 9, 7, 7, 7, 2, 5, 1, 4, 4, 9, 0, 7, 7, 7, 0, 9, 6, 5, 7, 1, 8, 8, 8, 5, 9, 0, 3, 7, 4, 3, 3, 2, 3, 4, 8, 1, 9, 6, 2, 5, 1, 3, 3, 0, 5, 9, 3, 6, 0, 9, 0, 3, 1, 2, 1, 0, 4, 8, 3, 9, 0, 9, 7, 4, 9, 7, 7, 4, 2, 5, 6, 8, 0, 3, 4, 3, 3, 6, 9, 7, 0, 8, 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..101.

Example

x=1.5047101068509454997772514490777096571888...

Mathematica

a = 1; b = -4; 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, 1.5, 1.51}, WorkingPrecision -> 110]
RealDigits[r] (* A198839 *)

Crossrefs

Cf. A198755.

Sequence in context: A292902 A200417 A309723 * A062521 A271951 A157700

Adjacent sequences: A198836 A198837 A198838 * A198840 A198841 A198842

Keyword

nonn,cons

Author

Clark Kimberling, Oct 30 2011

Status

approved