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%I #8 Apr 10 2021 21:42:44
%S 4,2,9,3,2,7,9,4,1,7,9,4,5,8,6,4,3,6,7,9,2,8,3,2,6,2,2,9,1,3,0,2,8,5,
%T 3,1,4,3,2,5,1,6,6,6,0,2,1,0,8,2,5,6,4,6,5,8,6,7,1,6,5,5,2,6,5,5,8,6,
%U 7,2,9,9,7,1,5,1,2,3,2,6,8,8,8,8,2,5,3,6,5,6,0,9,9,0,8,3,5,2,1
%N Decimal expansion of x satisfying x^2 + 2 = cot(x) and 0 < x < Pi.
%C See A201280 for a guide to related sequences. The Mathematica program includes a graph.
%e x=0.42932794179458643679283262291302853143...
%t a = 1; c = 2;
%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, .42, .43}, WorkingPrecision -> 110]
%t RealDigits[r] (* A201281 *)
%Y Cf. A201280.
%K nonn,cons
%O 0,1
%A _Clark Kimberling_, Nov 29 2011
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