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%I #8 Apr 10 2021 22:25:37
%S 3,0,4,2,1,6,5,4,8,8,1,1,0,0,8,6,7,8,2,1,0,7,5,6,9,6,3,3,0,1,3,9,7,8,
%T 2,6,7,2,6,1,3,0,8,9,8,1,6,7,7,5,6,9,8,4,1,2,4,0,5,7,0,6,8,0,3,1,8,4,
%U 0,7,9,3,8,5,8,9,5,5,7,5,0,7,3,1,6,0,9,1,8,6,6,9,7,8,1,2,9,2,8
%N Decimal expansion of x satisfying 2*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=0.304216548811008678210756963301397826726130...
%t a = 2; c = 3;
%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, .3, .4}, WorkingPrecision -> 110]
%t RealDigits[r] (* A201291 *)
%Y Cf. A201280.
%K nonn,cons
%O 0,1
%A _Clark Kimberling_, Nov 29 2011
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