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Decimal expansion of x satisfying x^2 + 6 = cot(x) and 0 < x < Pi.
2

%I #14 Aug 03 2021 14:34:00

%S 1,6,4,4,2,1,2,0,9,0,5,0,2,9,5,4,7,0,9,4,1,5,2,9,9,9,5,0,6,8,4,2,9,6,

%T 1,7,2,8,4,9,7,1,8,1,9,5,7,2,0,0,9,7,1,9,5,2,1,1,9,3,7,0,0,4,9,2,3,5,

%U 1,6,7,5,6,3,5,5,2,3,7,7,9,4,9,1,3,0,0,7,5,3,6,1,2,5,5,4,4,6,6

%N Decimal expansion of x satisfying x^2 + 6 = cot(x) and 0 < x < Pi.

%C See A201280 for a guide to related sequences. The Mathematica program includes a graph.

%e 0.16442120905029547094152999506842961...

%t a = 1; c = 6;

%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] (* A201285 *)

%Y Cf. A201280.

%K nonn,cons

%O 0,2

%A _Clark Kimberling_, Nov 29 2011

%E Offset and a(83) onwards corrected by _Georg Fischer_, Aug 03 2021