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 A198562 #8 Apr 23 2025 12:44:45
%S A198562 1,3,7,8,6,6,0,9,4,8,1,9,9,5,4,9,1,9,3,0,5,2,5,5,6,8,5,4,2,7,5,9,0,4,
%T A198562 1,2,5,6,1,8,2,4,6,7,0,3,8,6,5,0,2,2,2,9,7,1,5,6,0,5,6,4,9,2,8,3,5,7,
%U A198562 5,6,6,6,5,6,7,2,9,6,8,7,1,9,8,0,1,4,8,5,6,8,6,0,9,8,6,6,8,9,1
%N A198562 Decimal expansion of x>0 having 3*x^2-2x=3*sin(x).
%C A198562 See A198414 for a guide to related sequences. The Mathematica program includes a graph.
%H A198562 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A198562 1.3786609481995491930525568542759041256182467...
%t A198562 a = 3; b = -2; c = 3;
%t A198562 f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
%t A198562 Plot[{f[x], g[x]}, {x, -.2, 1.5}]
%t A198562 r = x /. FindRoot[f[x] == g[x], {x, 1.37, 1.38}, WorkingPrecision -> 110]
%t A198562 RealDigits[r] (* A198562 *)
%Y A198562 Cf. A198414.
%K A198562 nonn,cons
%O A198562 1,2
%A A198562 _Clark Kimberling_, Oct 26 2011