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 A199433 #8 Feb 07 2025 20:08:55
%S A199433 7,2,6,8,9,2,4,0,7,8,5,4,3,3,6,1,9,4,4,6,0,0,2,4,4,2,9,5,3,5,9,5,5,4,
%T A199433 1,6,7,1,9,6,6,2,1,6,2,2,0,9,2,1,9,2,4,4,9,3,6,0,6,5,3,8,0,7,7,8,3,9,
%U A199433 8,5,4,9,1,8,8,7,6,5,2,9,7,9,1,8,1,5,7,2,9,8,1,4,5,9,1,1,4,5,3
%N A199433 Decimal expansion of x>0 satisfying x^2+2*x*sin(x)=2*cos(x).
%C A199433 See A199370 for a guide to related sequences. The Mathematica program includes a graph.
%H A199433 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A199433 0.7268924078543361944600244295359554167196621...
%t A199433 a = 1; b = 2; c = 2;
%t A199433 f[x_] := a*x^2 + b*x*Sin[x]; g[x_] := c*Cos[x]
%t A199433 Plot[{f[x], g[x]}, {x, -Pi, Pi}, {AxesOrigin -> {0, 0}}]
%t A199433 r = x /. FindRoot[f[x] == g[x], {x, .72, .73}, WorkingPrecision -> 110]
%t A199433 RealDigits[r] (* A199433 *)
%Y A199433 Cf. A199429.
%K A199433 nonn,cons
%O A199433 0,1
%A A199433 _Clark Kimberling_, Nov 06 2011