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%I #8 Apr 10 2021 20:59:54
%S 2,4,2,0,9,9,4,1,9,8,6,5,6,6,9,2,6,6,4,5,0,3,7,5,7,3,3,7,4,3,9,8,7,9,
%T 4,0,2,0,3,7,2,5,9,0,8,5,3,4,7,2,0,0,6,4,7,7,3,4,8,0,5,3,3,4,6,7,2,0,
%U 2,6,2,1,3,0,1,4,5,7,9,7,4,7,2,2,5,9,7,9,7,8,3,8,8,4,1,8,1,0,9
%N Decimal expansion of x satisfying x^2 - 7 = cot(x) and 0 < x < Pi.
%C See A201280 for a guide to related sequences. The Mathematica program includes a graph.
%e x=2.4209941986566926645037573374398794020...
%t a = 1; c = -7;
%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, 2.4, 2.5}, WorkingPrecision -> 110]
%t RealDigits[r] (* A201316 *)
%Y Cf. A201280.
%K nonn,cons
%O 1,1
%A _Clark Kimberling_, Nov 29 2011
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