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 A198540 #8 Apr 23 2025 12:42:01
%S A198540 2,4,2,6,6,1,0,9,0,1,4,0,2,2,1,3,1,2,6,3,0,2,6,4,8,3,4,9,7,4,7,3,8,4,
%T A198540 2,1,3,1,7,8,2,5,8,1,5,0,5,0,8,6,2,5,8,9,0,5,7,5,0,7,5,2,3,6,5,1,2,7,
%U A198540 3,8,7,3,9,0,2,9,0,7,0,3,7,9,5,4,9,6,6,9,4,5,3,7,2,1,9,3,4,1,4
%N A198540 Decimal expansion of x>0 having 4*x^2+2x=3*sin(x).
%C A198540 See A198414 for a guide to related sequences. The Mathematica program includes a graph.
%H A198540 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A198540 0.24266109014022131263026483497473842...
%t A198540 a = 4; b = 2; c = 3;
%t A198540 f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
%t A198540 Plot[{f[x], g[x]}, {x, -.2, .4}]
%t A198540 r = x /. FindRoot[f[x] == g[x], {x, .24, .25}, WorkingPrecision -> 110]
%t A198540 RealDigits[r] (* A198540 *)
%Y A198540 Cf. A198414.
%K A198540 nonn,cons
%O A198540 0,1
%A A198540 _Clark Kimberling_, Oct 26 2011