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 A199602 #8 Feb 08 2025 22:13:55 %S A199602 2,5,4,0,0,9,2,4,1,8,0,4,2,7,4,7,3,6,3,8,5,0,7,9,4,3,9,3,9,9,4,8,3,4, %T A199602 3,7,4,4,6,3,1,5,7,7,5,4,4,3,1,5,3,2,7,4,5,9,6,7,9,8,4,0,7,8,5,5,7,7, %U A199602 9,6,6,2,5,6,4,7,9,3,4,9,9,2,1,3,9,2,7,0,4,1,6,8,5,5,2,6,8,7,4 %N A199602 Decimal expansion of x>0 satisfying x^2+2*x*cos(x)=4*sin(x). %C A199602 See A199597 for a guide to related sequences. The Mathematica program includes a graph. %H A199602 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>. %e A199602 2.54009241804274736385079439399483437... %t A199602 a = 1; b = 2; c = 4; %t A199602 f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x] %t A199602 Plot[{f[x], g[x]}, {x, -Pi, Pi}, {AxesOrigin -> {0, 0}}] %t A199602 r = x /. FindRoot[f[x] == g[x], {x, 2.5, 2.6}, WorkingPrecision -> 110] %t A199602 RealDigits[r] (* A199602 *) %Y A199602 Cf. A199597. %K A199602 nonn,cons %O A199602 1,1 %A A199602 _Clark Kimberling_, Nov 08 2011