Location via proxy:   [ UP ]  
[Report a bug]   [Manage cookies]                
A200639
Decimal expansion of least x>0 satisfying x^2+5=tan(x).
1
1, 4, 2, 9, 7, 7, 9, 1, 8, 9, 1, 9, 0, 6, 0, 7, 6, 4, 8, 7, 2, 8, 6, 6, 8, 9, 1, 7, 2, 2, 2, 1, 3, 4, 2, 4, 9, 2, 0, 7, 9, 5, 2, 2, 5, 8, 4, 8, 0, 0, 0, 2, 9, 9, 9, 7, 5, 0, 4, 0, 7, 7, 4, 9, 5, 6, 6, 3, 0, 1, 2, 5, 2, 3, 2, 0, 5, 0, 3, 9, 5, 7, 4, 5, 4, 6, 1, 0, 8, 7, 0, 4, 2, 6, 3, 2, 6, 5, 5, 6
OFFSET
1,2
COMMENTS
See A200614 for a guide to related sequences. The Mathematica program includes a graph.
EXAMPLE
x=1.42977918919060764872866891722213424920795225848000...
MATHEMATICA
a = 1; c = -5;
f[x_] := a*x^2 - c; g[x_] := Tan[x]
Plot[{f[x], g[x]}, {x, -.1, Pi/2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, 1.41, 1.42}, WorkingPrecision -> 110]
RealDigits[r] (* A200639 *)
CROSSREFS
Cf. A200338.
Sequence in context: A260422 A237126 A246380 * A365255 A243968 A104583
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Nov 20 2011
STATUS
approved