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 A198568 #9 Apr 23 2025 12:45:31
%S A198568 2,1,1,0,0,2,1,9,8,8,4,5,7,5,4,0,1,0,5,8,4,4,9,9,4,5,5,5,2,8,4,5,6,3,
%T A198568 2,6,5,1,4,7,7,3,6,6,8,1,4,4,0,4,3,8,2,5,6,4,8,6,1,4,9,9,4,1,4,6,2,5,
%U A198568 2,8,5,8,7,4,0,3,3,2,4,3,2,0,5,2,9,6,9,3,6,2,7,8,6,0,8,4,7,7,3
%N A198568 Decimal expansion of x>0 satisfying 2*x^2-3x=3*sin(x).
%C A198568 See A198414 for a guide to related sequences. The Mathematica program includes a graph.
%H A198568 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A198568 2.110021988457540105844994555284563265147736...
%t A198568 a = 2; b = -3; c = 3;
%t A198568 f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
%t A198568 Plot[{f[x], g[x]}, {x, -.2, 2.4}]
%t A198568 r = x /. FindRoot[f[x] == g[x], {x, 2.11, 2.12}, WorkingPrecision -> 110]
%t A198568 RealDigits[r] (* A198568 *)
%Y A198568 Cf. A198414.
%K A198568 nonn,cons
%O A198568 1,1
%A A198568 _Clark Kimberling_, Oct 27 2011