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 A201295 #11 Jan 30 2025 15:48:20 %S A201295 1,1,8,5,5,4,4,3,5,0,2,2,1,5,3,2,9,2,7,7,8,4,0,7,8,9,8,6,0,7,4,1,7,8, %T A201295 0,2,7,5,9,9,2,7,7,3,8,0,7,4,2,2,9,5,3,7,3,9,0,4,8,7,4,4,5,6,6,4,5,8, %U A201295 8,6,1,1,3,4,2,9,1,0,1,8,3,0,5,5,6,1,6,4,6,1,3,2,3,7,5,6,2,7,0 %N A201295 Decimal expansion of x satisfying x^2 - 1 = cot(x) and 0 < x < Pi. %C A201295 See A201280 for a guide to related sequences. The Mathematica program includes a graph. %H A201295 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>. %e A201295 1.185544350221532927784078986074178027599... %t A201295 a = 1; c = -1; %t A201295 f[x_] := a*x^2 + c; g[x_] := Cot[x] %t A201295 Plot[{f[x], g[x]}, {x, 0, Pi/2}, {AxesOrigin -> {0, 0}}] %t A201295 r = x /. FindRoot[f[x] == g[x], {x, 1.1, 1.2}, WorkingPrecision -> 110] %t A201295 RealDigits[r] (* A201295 *) %Y A201295 Cf. A201280. %K A201295 nonn,cons %O A201295 1,3 %A A201295 _Clark Kimberling_, Nov 29 2011