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 A201335 Decimal expansion of x satisfying 8*x^2 = cot(x) and 0 < x < Pi. 2

%I #9 Apr 10 2021 20:55:17

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

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

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

%N Decimal expansion of x satisfying 8*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=0.48627796782506586331338433096330021996589611...

%t a = 8; 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, .4, .5}, WorkingPrecision -> 110]

%t RealDigits[r] (* A201335 *)

%Y Cf. A201280.

%K nonn,cons

%O 0,1

%A _Clark Kimberling_, Nov 30 2011

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Last modified May 21 17:21 EDT 2024. Contains 372738 sequences. (Running on oeis4.)