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%I #8 Apr 10 2021 21:42:31
%S 8,9,5,2,0,6,0,4,5,3,8,4,2,3,1,8,5,0,0,7,5,5,5,0,7,9,9,5,4,9,1,6,8,5,
%T 9,2,5,0,2,2,4,6,2,3,9,1,1,5,6,8,3,3,4,0,9,6,3,7,4,6,0,1,9,6,6,5,4,8,
%U 8,9,1,4,8,8,3,9,5,6,9,0,7,4,6,1,8,9,0,4,4,5,3,1,6,2,9,4,8,0,0
%N Decimal expansion of x satisfying x^2 = cot(x) and 0 < x < Pi.
%C See A201280 for a guide to related sequences. The Mathematica program includes a graph.
%e x=0.8952060453842318500755507995491685925...
%t a = 1; c = 0;
%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, .8, .9}, WorkingPrecision -> 110]
%t RealDigits[r] (* A201294 *)
%Y Cf. A201280.
%K nonn,cons
%O 0,1
%A _Clark Kimberling_, Nov 29 2011
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