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 A198563 #8 Apr 23 2025 12:44:47
%S A198563 1,5,3,4,8,2,4,8,6,7,5,8,2,1,6,4,9,3,3,6,2,4,8,2,8,4,7,7,8,0,5,9,3,7,
%T A198563 8,8,8,9,1,1,1,7,0,8,5,1,9,8,6,7,4,7,6,3,5,9,7,5,0,9,1,6,5,2,2,2,2,1,
%U A198563 1,1,7,5,0,6,9,9,1,9,0,4,8,7,5,4,7,6,9,4,7,9,8,3,4,6,5,2,6,8,6
%N A198563 Decimal expansion of x>0 having 3*x^2-2x=4*sin(x).
%C A198563 See A198414 for a guide to related sequences. The Mathematica program includes a graph.
%H A198563 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A198563 1.5348248675821649336248284778059378889111...
%t A198563 a = 3; b = -2; c = 4;
%t A198563 f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
%t A198563 Plot[{f[x], g[x]}, {x, -.2, 1.7}]
%t A198563 r = x /. FindRoot[f[x] == g[x], {x, 1.53, 1.54}, WorkingPrecision -> 110]
%t A198563 RealDigits[r] (* A198563 *)
%Y A198563 Cf. A198414.
%K A198563 nonn,cons
%O A198563 1,2
%A A198563 _Clark Kimberling_, Oct 26 2011