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 A199722 #8 Feb 08 2025 22:27:07 %S A199722 1,1,7,3,1,4,8,3,8,0,8,5,5,4,0,4,0,7,9,5,3,5,9,8,3,2,2,6,8,7,2,9,2,2, %T A199722 6,3,8,8,3,5,8,6,5,0,3,2,0,0,9,5,2,8,9,8,4,1,2,5,8,8,4,1,1,2,4,3,1,2, %U A199722 6,8,6,4,8,6,0,3,4,7,1,1,7,9,6,5,8,1,0,0,6,8,7,5,2,5,3,9,6,8,5 %N A199722 Decimal expansion of x>0 satisfying x^2-x*cos(x)=sin(x). %C A199722 See A199597 for a guide to related sequences. The Mathematica program includes a graph. %H A199722 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>. %e A199722 1.1731483808554040795359832268729226388... %t A199722 a = 1; b = -1; c = 1; %t A199722 f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x] %t A199722 Plot[{f[x], g[x]}, {x, -Pi, Pi}, {AxesOrigin -> {0, 0}}] %t A199722 r = x /. FindRoot[f[x] == g[x], {x, 1.17, 1.18}, WorkingPrecision -> 110] %t A199722 RealDigits[r] (* A199722 *) %Y A199722 Cf. A199597. %K A199722 nonn,cons %O A199722 1,3 %A A199722 _Clark Kimberling_, Nov 09 2011