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 A198575 #9 Apr 23 2025 12:47:22
%S A198575 1,3,0,4,6,3,1,7,1,0,3,9,4,7,8,7,3,7,9,5,8,7,4,6,7,0,6,5,2,3,2,9,9,3,
%T A198575 9,6,9,3,7,6,0,7,2,9,2,1,8,0,3,6,7,2,6,1,8,0,0,6,5,1,6,2,6,1,0,6,3,9,
%U A198575 7,0,5,3,0,3,6,7,0,5,2,7,1,3,2,3,2,6,7,2,8,3,6,5,1,8,6,1,4,4,2
%N A198575 Decimal expansion of x>0 satisfying 4*x^2-3x=3*sin(x).
%C A198575 See A198414 for a guide to related sequences. The Mathematica program includes a graph.
%H A198575 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A198575 1.304631710394787379587467065232993969376072...
%t A198575 a = 4; b = -3; c = 3;
%t A198575 f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
%t A198575 Plot[{f[x], g[x]}, {x, -.2, 1.5}]
%t A198575 r = x /. FindRoot[f[x] == g[x], {x, 1.30, 1.31}, WorkingPrecision -> 110]
%t A198575 RealDigits[r] (* A198575 *)
%Y A198575 Cf. A198414.
%K A198575 nonn,cons
%O A198575 1,2
%A A198575 _Clark Kimberling_, Oct 27 2011