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%I #8 Apr 10 2021 20:59:09
%S 2,7,5,1,2,6,8,2,9,9,0,5,8,5,7,2,8,5,5,4,3,9,0,4,8,5,7,9,5,1,5,9,4,8,
%T 8,6,0,9,7,4,4,7,5,8,6,6,2,0,9,0,5,3,8,9,8,6,3,4,0,7,4,8,8,9,1,3,5,2,
%U 7,4,5,6,9,8,4,4,3,5,4,9,9,9,5,7,7,1,4,1,2,0,7,5,9,6,4,0,4,9,0
%N Decimal expansion of x satisfying x^2 - 10 = cot(x) and 0 < x < Pi.
%C See A201280 for a guide to related sequences. The Mathematica program includes a graph.
%e x=2.75126829905857285543904857951594886...
%t a = 1; c = -10;
%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, 2.7, 2.8}, WorkingPrecision -> 110]
%t RealDigits[r] (* A201319 *)
%Y Cf. A201280.
%K nonn,cons
%O 1,1
%A _Clark Kimberling_, Nov 30 2011
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