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%I #8 Apr 10 2021 22:26:04
%S 1,4,1,4,9,7,7,4,1,6,9,1,6,5,7,0,5,7,1,7,4,7,2,0,9,3,9,5,9,6,4,4,1,5,
%T 4,3,0,4,1,0,8,6,7,7,3,7,8,8,2,8,6,9,3,0,1,6,2,1,6,3,2,7,8,3,6,8,8,2,
%U 1,9,8,9,4,1,4,6,8,3,0,8,5,5,6,8,0,8,4,6,1,8,0,8,3,4,0,3,1,6,8
%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=0.141497741691657057174720939596441543041...
%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/2}, {AxesOrigin -> {0, 0}}]
%t r = x /. FindRoot[f[x] == g[x], {x, .1, .2}, WorkingPrecision -> 110]
%t RealDigits[r] (* A201286 *)
%Y Cf. A201280.
%K nonn,cons
%O 0,2
%A _Clark Kimberling_, Nov 29 2011
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