A198818 Decimal expansion of x>0 satisfying x^2-cos(x)=3.

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

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=1.6957050990830668061574912996443977975438897422...

Mathematica

a = 1; b = -1; c = 3;
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, 1.69, 1.7}, WorkingPrecision -> 110]
RealDigits[r] (* A198818 *)

Crossrefs

Cf. A198755.

Sequence in context: A259928 A289265 A301869 * A335204 A121821 A021859

Adjacent sequences: A198815 A198816 A198817 * A198819 A198820 A198821

Keyword

nonn,cons

Author

Clark Kimberling, Oct 30 2011

Status

approved