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 A201296 #13 Jan 30 2025 15:48:23 %S A201296 1,4,5,4,8,1,9,4,6,1,5,3,6,3,9,7,1,7,3,3,8,4,1,7,3,8,2,9,8,0,8,0,9,3, %T A201296 3,8,9,0,2,5,7,9,4,4,1,1,0,9,7,8,4,1,0,5,1,2,5,0,3,8,2,4,6,9,2,5,5,8, %U A201296 7,6,2,5,0,9,2,2,9,7,1,6,3,9,8,7,8,4,8,4,7,5,4,3,1,8,6,3,5,9,6,8,6,7 %N A201296 Decimal expansion of x satisfying x^2 - 2 = cot(x) and 0 < x < Pi. %C A201296 See A201280 for a guide to related sequences. The Mathematica program includes a graph. %H A201296 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>. %e A201296 1.4548194615363971733841738298080933890... %t A201296 a = 1; c = -2; %t A201296 f[x_] := a*x^2 + c; g[x_] := Cot[x] %t A201296 Plot[{f[x], g[x]}, {x, 0, Pi/2}, {AxesOrigin -> {0, 0}}] %t A201296 r = x /. FindRoot[f[x] == g[x], {x, 1.4, 1.5}, WorkingPrecision -> 110] %t A201296 RealDigits[r] (* A201296 *) %Y A201296 Cf. A201280. %K A201296 nonn,cons %O A201296 1,2 %A A201296 _Clark Kimberling_, Nov 29 2011 %E A201296 a(92) onwards corrected by _Georg Fischer_, Aug 03 2021