# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a201323 Showing 1-1 of 1 %I A201323 #8 Apr 10 2021 20:58:10 %S A201323 6,7,1,9,0,6,2,1,8,2,4,0,8,6,6,9,9,9,5,0,8,5,8,8,8,4,7,8,1,5,2,6,7,2, %T A201323 0,4,4,3,8,6,6,4,4,9,9,4,5,9,4,6,9,8,1,1,4,3,7,6,5,1,0,4,6,6,8,7,3,7, %U A201323 2,4,7,6,7,2,9,6,2,1,4,1,8,2,7,3,2,8,1,0,3,1,9,8,1,2,6,8,0,1,6 %N A201323 Decimal expansion of x satisfying 5*x^2 - 1 = cot(x) and 0 < x < Pi. %C A201323 See A201280 for a guide to related sequences. The Mathematica program includes a graph. %e A201323 x=0.671906218240866999508588847815267204438664499... %t A201323 a = 5; c = -1; %t A201323 f[x_] := a*x^2 + c; g[x_] := Cot[x] %t A201323 Plot[{f[x], g[x]}, {x, 0, Pi/2}, {AxesOrigin -> {0, 0}}] %t A201323 r = x /. FindRoot[f[x] == g[x], {x, .6, .7}, WorkingPrecision -> 110] %t A201323 RealDigits[r] (* A201323 *) %Y A201323 Cf. A201280. %K A201323 nonn,cons %O A201323 0,1 %A A201323 _Clark Kimberling_, Nov 30 2011 # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE