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%I #8 Apr 10 2021 20:58:24
%S 7,2,8,2,4,6,5,3,2,3,5,5,2,8,6,1,4,2,6,5,1,8,2,0,1,9,5,7,7,8,8,3,8,8,
%T 3,3,3,2,3,2,5,6,1,1,4,0,4,2,4,4,1,4,9,5,7,0,8,4,0,7,1,2,0,2,4,6,8,1,
%U 5,9,5,6,3,0,7,6,8,7,0,7,1,1,1,2,1,3,0,1,1,6,7,8,5,9,1,4,2,8,6
%N Decimal expansion of x satisfying 4*x^2 - 1 = cot(x) and 0 < x < Pi.
%C See A201280 for a guide to related sequences. The Mathematica program includes a graph.
%e x=0.7282465323552861426518201957788388333...
%t a = 4; c = -1;
%t f[x_] := a*x^2 + c; g[x_] := Cot[x]
%t Plot[{f[x], g[x]}, {x, 0, Pi/2}, {AxesOrigin -> {0, 0}}]
%t r = x /. FindRoot[f[x] == g[x], {x, .7, .8}, WorkingPrecision -> 110]
%t RealDigits[r] (* A201322 *)
%Y Cf. A201280.
%K nonn,cons
%O 0,1
%A _Clark Kimberling_, Nov 30 2011
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