OFFSET
1,2
COMMENTS
See A201397 for a guide to related sequences. The Mathematica program includes a graph.
EXAMPLE
least: 0.774427257079893623257029009000...
greatest: 1.4313635500690391357640449937...
MATHEMATICA
a = 4; c = -1;
f[x_] := a*x^2 + c; g[x_] := Sec[x]
Plot[{f[x], g[x]}, {x, 0, Pi/2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, .7, .8}, WorkingPrecision -> 110]
RealDigits[r] (* A201517 *)
r = x /. FindRoot[f[x] == g[x], {x, 1.4, 1.5}, WorkingPrecision -> 110]
RealDigits[r] (* A201518 *)
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Dec 02 2011
STATUS
approved