OFFSET
1,1
COMMENTS
See A201564 for a guide to related sequences. The Mathematica program includes a graph.
LINKS
G. C. Greubel, Table of n, a(n) for n = 1..10000
EXAMPLE
least: 0.596626819860704546761832859082141048303653100...
greatest: 3.121059463523827415360175700034092048910749...
MATHEMATICA
a = 5; c = 0;
f[x_] := a*x^2 + c; g[x_] := Csc[x]
Plot[{f[x], g[x]}, {x, 0, Pi}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, .5, .6}, WorkingPrecision -> 110]
RealDigits[r] (* A201589 *)
r = x /. FindRoot[f[x] == g[x], {x, 3.1, 3.14}, WorkingPrecision -> 110]
RealDigits[r] (* A201590 *)
PROG
(PARI) a=5; c=0; solve(x=3.1, 3.14, a*x^2 + c - 1/sin(x)) \\ G. C. Greubel, Aug 22 2018
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Dec 03 2011
EXTENSIONS
Terms a(88) onward corrected by G. C. Greubel, Aug 22 2018
STATUS
approved