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 A201285 #16 Jan 30 2025 15:47:05 %S A201285 1,6,4,4,2,1,2,0,9,0,5,0,2,9,5,4,7,0,9,4,1,5,2,9,9,9,5,0,6,8,4,2,9,6, %T A201285 1,7,2,8,4,9,7,1,8,1,9,5,7,2,0,0,9,7,1,9,5,2,1,1,9,3,7,0,0,4,9,2,3,5, %U A201285 1,6,7,5,6,3,5,5,2,3,7,7,9,4,9,1,3,0,0,7,5,3,6,1,2,5,5,4,4,6,6 %N A201285 Decimal expansion of x satisfying x^2 + 6 = cot(x) and 0 < x < Pi. %C A201285 See A201280 for a guide to related sequences. The Mathematica program includes a graph. %H A201285 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>. %e A201285 0.16442120905029547094152999506842961... %t A201285 a = 1; c = 6; %t A201285 f[x_] := a*x^2 + c; g[x_] := Cot[x] %t A201285 Plot[{f[x], g[x]}, {x, 0, Pi/2}, {AxesOrigin -> {0, 0}}] %t A201285 r = x /. FindRoot[f[x] == g[x], {x, .1, .2}, WorkingPrecision -> 110] %t A201285 RealDigits[r] (* A201285 *) %Y A201285 Cf. A201280. %K A201285 nonn,cons %O A201285 0,2 %A A201285 _Clark Kimberling_, Nov 29 2011 %E A201285 Offset and a(83) onwards corrected by _Georg Fischer_, Aug 03 2021