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 A201294 #10 Jan 30 2025 15:48:34 %S A201294 8,9,5,2,0,6,0,4,5,3,8,4,2,3,1,8,5,0,0,7,5,5,5,0,7,9,9,5,4,9,1,6,8,5, %T A201294 9,2,5,0,2,2,4,6,2,3,9,1,1,5,6,8,3,3,4,0,9,6,3,7,4,6,0,1,9,6,6,5,4,8, %U A201294 8,9,1,4,8,8,3,9,5,6,9,0,7,4,6,1,8,9,0,4,4,5,3,1,6,2,9,4,8,0,0 %N A201294 Decimal expansion of x satisfying x^2 = cot(x) and 0 < x < Pi. %C A201294 See A201280 for a guide to related sequences. The Mathematica program includes a graph. %H A201294 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>. %e A201294 0.8952060453842318500755507995491685925... %t A201294 a = 1; c = 0; %t A201294 f[x_] := a*x^2 + c; g[x_] := Cot[x] %t A201294 Plot[{f[x], g[x]}, {x, 0, Pi/2}, {AxesOrigin -> {0, 0}}] %t A201294 r = x /. FindRoot[f[x] == g[x], {x, .8, .9}, WorkingPrecision -> 110] %t A201294 RealDigits[r] (* A201294 *) %Y A201294 Cf. A201280. %K A201294 nonn,cons %O A201294 0,1 %A A201294 _Clark Kimberling_, Nov 29 2011