This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A201324 #10 Jan 30 2025 16:00:34 %S A201324 6,2,9,0,5,4,1,6,2,9,7,8,4,0,4,2,3,0,8,6,1,8,0,6,7,8,2,6,9,4,4,1,2,3, %T A201324 6,8,8,4,4,6,3,2,5,8,1,7,8,5,5,5,9,3,9,5,6,2,5,2,3,4,6,6,4,6,7,5,2,7, %U A201324 0,6,5,7,2,9,3,2,7,1,8,1,0,4,2,3,9,8,5,4,1,5,3,7,4,3,5,5,8,4,7 %N A201324 Decimal expansion of x satisfying 6*x^2 - 1 = cot(x) and 0 < x < Pi. %C A201324 See A201280 for a guide to related sequences. The Mathematica program includes a graph. %H A201324 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>. %e A201324 0.6290541629784042308618067826944123... %t A201324 a = 6; c = -1; %t A201324 f[x_] := a*x^2 + c; g[x_] := Cot[x] %t A201324 Plot[{f[x], g[x]}, {x, 0, Pi/2}, {AxesOrigin -> {0, 0}}] %t A201324 r = x /. FindRoot[f[x] == g[x], {x, .6, .7}, WorkingPrecision -> 110] %t A201324 RealDigits[r] (* A201324 *) %Y A201324 Cf. A201280. %K A201324 nonn,cons %O A201324 0,1 %A A201324 _Clark Kimberling_, Nov 30 2011