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%I #10 Aug 03 2021 13:47:48
%S 1,1,0,5,0,8,4,9,2,1,4,8,6,8,2,8,6,6,5,3,0,2,1,3,2,6,3,2,6,3,3,3,0,8,
%T 6,4,1,8,6,8,4,6,1,4,4,2,8,6,2,5,4,8,4,3,0,1,4,8,7,5,2,1,0,3,3,0,2,5,
%U 9,0,1,3,2,2,6,9,2,6,9,8,9,2,5,6,9,5,3,7,1,0,8,3,0,9,2,3,4,7,1
%N Decimal expansion of x satisfying x^2 + 9 = cot(x) and 0 < x < Pi.
%C See A201280 for a guide to related sequences. The Mathematica program includes a graph.
%e 0.1105084921486828665302132632633308...
%t a = 1; c = 9;
%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, .1, .2}, WorkingPrecision -> 110]
%t RealDigits[r] (* A201288 *)
%Y Cf. A201280.
%K nonn,cons
%O 0,4
%A _Clark Kimberling_, Nov 29 2011
%E a(96) onwards corrected by _Georg Fischer_, Aug 03 2021
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