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%I #9 Apr 11 2021 01:27:42
%S 1,6,9,5,4,8,3,1,1,8,3,6,4,6,2,3,4,8,8,6,8,9,5,6,8,1,6,5,1,3,3,5,7,9,
%T 1,8,5,0,9,3,6,3,4,4,7,5,7,1,1,4,0,3,5,8,6,6,3,6,4,9,3,5,8,3,1,6,0,7,
%U 0,1,5,2,1,3,0,2,4,7,9,3,9,1,9,7,0,3,3,4,8,7,0,2,7,4,4,5,9,3,3
%N Decimal expansion of x satisfying x^2 - 3 = cot(x) and 0 < x < Pi.
%C See A201280 for a guide to related sequences. The Mathematica program includes a graph.
%e x=1.695483118364623488689568165133579185093634...
%t a = 1; c = -3;
%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, 1.6, 1.7}, WorkingPrecision -> 110]
%t RealDigits[r] (* A201297 *)
%Y Cf. A201280.
%K nonn,cons
%O 1,2
%A _Clark Kimberling_, Nov 29 2011
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