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 A199462 #9 Feb 08 2025 09:58:45 %S A199462 1,7,5,6,0,2,6,6,9,2,4,5,9,7,0,3,4,3,2,9,4,2,5,3,3,4,8,9,2,6,4,2,3,9, %T A199462 2,3,5,8,1,0,8,1,2,7,8,0,7,1,8,9,9,0,8,7,2,7,0,9,2,3,9,0,3,3,7,1,8,2, %U A199462 4,9,9,5,0,7,4,5,3,3,0,2,3,0,8,4,1,0,3,0,8,4,9,5,1,0,5,1,6,9,1 %N A199462 Decimal expansion of x>0 satisfying x^2-2*x*sin(x)=2*cos(x). %C A199462 See A199429 for a guide to related sequences. The Mathematica program includes a graph. %H A199462 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>. %e A199462 1.7560266924597034329425334892642392358108127... %t A199462 a = 1; b = -2; c = 2; %t A199462 f[x_] := a*x^2 + b*x*Sin[x]; g[x_] := c*Cos[x] %t A199462 Plot[{f[x], g[x]}, {x, -Pi, Pi}, {AxesOrigin -> {0, 0}}] %t A199462 r = x /. FindRoot[f[x] == g[x], {x, 1.75, 1.76}, WorkingPrecision -> 110] %t A199462 RealDigits[r] (* A199462 *) %Y A199462 Cf. A199429. %K A199462 nonn,cons %O A199462 1,2 %A A199462 _Clark Kimberling_, Nov 07 2011