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 A198506 #8 Apr 23 2025 12:41:49
%S A198506 4,7,2,4,1,2,8,9,8,9,4,8,7,9,8,3,1,8,6,3,1,2,2,3,3,0,1,8,3,4,1,4,4,5,
%T A198506 4,7,3,0,1,4,3,6,8,6,6,2,7,4,6,8,4,8,7,8,5,3,9,2,6,5,7,8,9,5,7,0,4,4,
%U A198506 2,7,4,8,3,7,2,8,1,4,3,9,9,8,9,2,7,6,0,9,8,2,0,8,8,8,0,1,5,2,3
%N A198506 Decimal expansion of x>0 having 4*x^2+x=3*sin(x).
%C A198506 See A198414 for a guide to related sequences. The Mathematica program includes a graph.
%H A198506 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A198506 0.47241289894879831863122330183414454730...
%t A198506 a = 4; b = 1; c = 3;
%t A198506 f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
%t A198506 Plot[{f[x], g[x]}, {x, -.2, .6}]
%t A198506 r = x /. FindRoot[f[x] == g[x], {x, .47, .48}, WorkingPrecision -> 110]
%t A198506 RealDigits[r] (* A198506 *)
%Y A198506 Cf. A198414.
%K A198506 nonn,cons
%O A198506 0,1
%A A198506 _Clark Kimberling_, Oct 25 2011