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 A198564 #8 Apr 23 2025 12:44:49
%S A198564 7,2,8,4,6,8,2,3,9,3,5,6,9,9,0,7,6,8,3,6,1,5,3,2,2,7,8,1,4,9,9,0,7,4,
%T A198564 7,0,5,2,5,0,9,5,3,6,5,0,7,0,5,2,8,5,5,4,9,5,9,3,8,6,9,5,3,7,9,3,9,9,
%U A198564 9,0,4,3,2,8,0,1,7,1,5,3,8,2,4,9,5,2,2,5,1,2,2,6,1,7,5,8,6,3,7
%N A198564 Decimal expansion of x>0 having 4*x^2-2x=sin(x).
%C A198564 See A198414 for a guide to related sequences. The Mathematica program includes a graph.
%H A198564 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A198564 0.7284682393569907683615322781499074705250953...
%t A198564 a = 4; b = -2; c = 1;
%t A198564 f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
%t A198564 Plot[{f[x], g[x]}, {x, -.2, 1}]
%t A198564 r = x /. FindRoot[f[x] == g[x], {x, .72, .73}, WorkingPrecision -> 110]
%t A198564 RealDigits[r] (* A198564 *)
%Y A198564 Cf. A198414.
%K A198564 nonn,cons
%O A198564 0,1
%A A198564 _Clark Kimberling_, Oct 26 2011