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 A198565 #8 Apr 23 2025 12:44:50
%S A198565 1,1,0,6,1,4,4,3,7,3,0,5,1,6,3,8,9,9,9,9,2,1,4,1,0,6,2,6,1,0,6,5,0,8,
%T A198565 6,4,3,7,2,1,5,6,5,2,7,0,0,0,3,3,2,4,5,1,5,3,5,7,5,0,2,7,3,0,0,5,5,3,
%U A198565 5,3,4,0,4,9,6,5,4,9,2,8,7,0,6,5,4,6,5,4,7,3,6,7,9,0,8,3,7,4,4
%N A198565 Decimal expansion of x>0 having 4*x^2-2x=3*sin(x).
%C A198565 See A198414 for a guide to related sequences. The Mathematica program includes a graph.
%H A198565 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A198565 1.1061443730516389999214106261065086437215...
%t A198565 a = 4; b = -2; c = 3;
%t A198565 f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
%t A198565 Plot[{f[x], g[x]}, {x, -.2, 1.3}]
%t A198565 r = x /. FindRoot[f[x] == g[x], {x, 1.06, 1.07}, WorkingPrecision -> 110]
%t A198565 RealDigits[r] (* A198565 *)
%Y A198565 Cf. A198414.
%K A198565 nonn,cons
%O A198565 1,4
%A A198565 _Clark Kimberling_, Oct 26 2011