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%I #8 Apr 10 2021 20:55:58
%S 5,6,2,9,5,6,0,1,9,8,9,2,5,4,3,7,3,7,6,6,9,7,5,3,8,2,7,3,9,8,4,9,2,9,
%T 5,9,2,0,2,4,2,7,5,2,4,9,8,2,1,1,9,8,5,2,3,6,5,7,4,7,8,0,5,7,1,1,3,3,
%U 6,5,9,9,4,4,0,8,0,9,8,5,9,8,9,2,8,0,5,5,9,4,5,7,8,0,3,8,7,0,7
%N Decimal expansion of x satisfying 5*x^2 = cot(x) and 0 < x < Pi.
%C See A201280 for a guide to related sequences. The Mathematica program includes a graph.
%e x=0.56295601989254373766975382739849295920...
%t a = 5; c = 0;
%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, .5, .6}, WorkingPrecision -> 110]
%t RealDigits[r] (* A201332 *)
%Y Cf. A201280.
%K nonn,cons
%O 0,1
%A _Clark Kimberling_, Nov 30 2011
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