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 A201317 #10 Jan 30 2025 15:50:09 %S A201317 2,5,5,1,0,9,4,1,5,8,8,9,3,9,1,5,8,0,0,7,3,4,6,1,6,1,9,2,9,4,0,8,1,0, %T A201317 2,9,1,7,6,3,5,9,2,5,8,2,9,2,3,6,5,8,6,2,3,3,8,7,4,1,4,2,5,2,7,6,4,3, %U A201317 8,0,7,1,4,9,5,2,2,0,1,1,8,4,9,0,5,8,5,2,5,2,0,0,2,5,0,7,5,7,7 %N A201317 Decimal expansion of x satisfying x^2 - 8 = cot(x) and 0 < x < Pi. %C A201317 See A201280 for a guide to related sequences. The Mathematica program includes a graph. %H A201317 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>. %e A201317 2.55109415889391580073461619294081029176... %t A201317 a = 1; c = -8; %t A201317 f[x_] := a*x^2 + c; g[x_] := Cot[x] %t A201317 Plot[{f[x], g[x]}, {x, 0, Pi}, {AxesOrigin -> {0, 0}}] %t A201317 r = x /. FindRoot[f[x] == g[x], {x, 2.5, 2.6}, WorkingPrecision -> 110] %t A201317 RealDigits[r] (* A201317 *) %Y A201317 Cf. A201280. %K A201317 nonn,cons %O A201317 1,1 %A A201317 _Clark Kimberling_, Nov 30 2011