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%I #8 Apr 10 2021 21:00:35
%S 1,9,0,9,8,0,9,6,4,4,9,8,4,1,3,5,5,6,1,3,7,0,6,4,8,7,2,6,5,6,3,0,8,8,
%T 0,2,5,4,6,4,7,7,1,4,0,3,0,1,0,8,4,6,0,5,2,4,9,2,9,5,2,8,7,8,8,0,3,5,
%U 4,7,8,8,3,4,6,2,2,9,8,3,7,2,6,4,0,6,8,5,4,8,4,0,2,1,5,6,5,3,0
%N Decimal expansion of x satisfying x^2 - 4 = cot(x) and 0 < x < Pi.
%C See A201280 for a guide to related sequences. The Mathematica program includes a graph.
%e x=1.90980964498413556137064872656308802546477...
%t a = 1; c = -4;
%t f[x_] := a*x^2 + c; g[x_] := Cot[x]
%t Plot[{f[x], g[x]}, {x, 0, Pi}, {AxesOrigin -> {0, 0}}]
%t r = x /. FindRoot[f[x] == g[x], {x, 1.9, 1.91}, WorkingPrecision -> 110]
%t RealDigits[r] (* A201298 *)
%Y Cf. A201280.
%K nonn,cons
%O 1,2
%A _Clark Kimberling_, Nov 29 2011
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