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 A199464 #9 Feb 08 2025 09:58:50 %S A199464 1,0,2,0,6,5,1,9,4,4,5,5,0,7,1,4,2,8,1,7,9,2,0,8,0,1,0,9,8,5,8,2,5,7, %T A199464 4,0,9,1,6,7,9,8,4,7,5,0,6,4,8,2,8,7,3,4,9,6,3,7,4,1,3,8,6,4,8,3,0,9, %U A199464 7,0,7,6,4,4,0,3,8,5,2,9,0,1,1,9,7,1,9,6,8,8,0,4,5,5,8,9,6,8,8 %N A199464 Decimal expansion of greatest x satisfying x^2-3*x*sin(x)=-3*cos(x). %C A199464 See A199429 for a guide to related sequences. The Mathematica program includes a graph. %H A199464 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>. %e A199464 1.02065194455071428179208010985825740916... %t A199464 a = 1; b = -3; c = -3; %t A199464 f[x_] := a*x^2 + b*x*Sin[x]; g[x_] := c*Cos[x] %t A199464 Plot[{f[x], g[x]}, {x, -Pi, Pi}, {AxesOrigin -> {0, 0}}] %t A199464 r = x /. FindRoot[f[x] == g[x], {x, 1.71, 1.72}, WorkingPrecision -> 110] %t A199464 RealDigits[r] (* A199464 greatest root *) %Y A199464 Cf. A199429. %K A199464 nonn,cons %O A199464 1,3 %A A199464 _Clark Kimberling_, Nov 07 2011