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 A199729 #8 Feb 08 2025 22:24:47 %S A199729 1,5,0,8,8,1,6,7,0,3,3,4,9,5,0,3,0,5,0,7,8,1,0,1,8,0,8,2,7,2,2,1,6,3, %T A199729 4,0,4,3,9,1,6,0,1,1,1,5,3,6,3,4,9,5,7,1,8,3,5,6,9,7,7,9,0,0,4,5,5,7, %U A199729 7,3,8,6,2,8,6,5,0,7,4,7,7,6,6,5,3,0,0,1,4,4,2,4,5,8,4,3,7,4,7 %N A199729 Decimal expansion of x>0 satisfying x^2-3*x*cos(x)=2*sin(x). %C A199729 See A199597 for a guide to related sequences. The Mathematica program includes a graph. %H A199729 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>. %e A199729 1.50881670334950305078101808272216340439160111... %t A199729 a = 1; b = -3; c = 2; %t A199729 f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x] %t A199729 Plot[{f[x], g[x]}, {x, -2 Pi, Pi}, {AxesOrigin -> {0, 0}}] %t A199729 r = x /. FindRoot[f[x] == g[x], {x, 1.50, 1.51}, WorkingPrecision -> 110] %t A199729 RealDigits[r] (* A199729 *) %Y A199729 Cf. A199597. %K A199729 nonn,cons %O A199729 1,2 %A A199729 _Clark Kimberling_, Nov 09 2011