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 A199788 #8 Feb 08 2025 22:30:27 %S A199788 1,0,4,9,1,8,8,7,0,8,2,0,0,4,3,4,2,1,3,4,2,7,2,0,7,6,6,5,0,0,3,9,2,6, %T A199788 6,0,8,2,9,4,3,9,0,2,2,5,2,1,7,1,6,7,1,4,5,2,0,4,5,1,3,7,6,6,6,9,0,4, %U A199788 4,5,3,3,1,2,1,1,4,9,3,0,9,0,6,6,9,8,5,1,3,7,0,9,0,5,0,4,2,0,4 %N A199788 Decimal expansion of x>0 satisfying 3*x^2-3*x*cos(x)=2*sin(x). %C A199788 See A199597 for a guide to related sequences. The Mathematica program includes a graph. %H A199788 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>. %e A199788 1.049188708200434213427207665003926608294390... %t A199788 a = 3; b = -3; c = 2; %t A199788 f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x] %t A199788 Plot[{f[x], g[x]}, {x, -1, 2}, {AxesOrigin -> {0, 0}}] %t A199788 r = x /. FindRoot[f[x] == g[x], {x, 1.04, 1.05}, WorkingPrecision -> 110] %t A199788 RealDigits[r] (* A199788 *) %Y A199788 Cf. A199597. %K A199788 nonn,cons %O A199788 1,3 %A A199788 _Clark Kimberling_, Nov 10 2011