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 A198500 #11 Apr 23 2025 12:34:27
%S A198500 8,4,6,4,0,5,6,9,7,8,9,3,2,0,6,0,9,9,9,9,4,7,6,7,5,2,0,6,4,2,8,4,4,6,
%T A198500 2,8,3,1,1,4,3,3,9,1,0,4,9,5,6,8,2,1,6,0,5,9,2,3,0,9,2,0,2,3,3,9,2,2,
%U A198500 7,2,9,0,4,7,7,9,9,0,8,2,8,3,6,7,4,6,5,6,9,3,5,7,4,0,0,6,2,8,0,8,2,5,9,7,9,8,7
%N A198500 Decimal expansion of x > 0 having 3*x^2+x = 4*sin(x).
%C A198500 See A198414 for a guide to related sequences. The Mathematica program includes a graph.
%H A198500 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A198500 0.84640569789320609999476752064284462...
%t A198500 a = 3; b = 1; c = 4;
%t A198500 f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
%t A198500 Plot[{f[x], g[x]}, {x, -1, 1}]
%t A198500 r = x /. FindRoot[f[x] == g[x], {x, .84, .85}, WorkingPrecision -> 110]
%t A198500 RealDigits[r] (* A198500 *)
%Y A198500 Cf. A198414.
%K A198500 nonn,cons
%O A198500 0,1
%A A198500 _Clark Kimberling_, Oct 25 2011
%E A198500 a(97) onwards corrected by _Georg Fischer_, Aug 01 2021