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A201299 Decimal expansion of x satisfying x^2 - 5 = cot(x) and 0 < x < Pi. 2

%I #10 Aug 03 2021 13:49:51

%S 2,1,0,0,9,2,9,3,7,7,0,2,7,2,8,5,9,4,0,8,0,0,3,7,3,7,5,5,6,7,9,3,5,5,

%T 5,9,3,6,3,8,9,4,5,2,6,3,7,8,9,2,3,2,7,2,8,1,6,4,9,2,6,2,0,0,3,1,1,9,

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

%N Decimal expansion of x satisfying x^2 - 5 = cot(x) and 0 < x < Pi.

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

%e 2.10092937702728594080037375567935559363...

%t a = 1; c = -5;

%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, 2.0, 2.1}, WorkingPrecision -> 110]

%t RealDigits[r] (* A201299 *)

%Y Cf. A201280.

%K nonn,cons

%O 1,1

%A _Clark Kimberling_, Nov 29 2011

%E a(94) onwards corrected by _Georg Fischer_, Aug 03 2021

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Last modified July 16 19:40 EDT 2024. Contains 374358 sequences. (Running on oeis4.)