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 A199665 #8 Feb 08 2025 22:14:43
%S A199665 9,4,7,9,7,2,6,4,7,8,8,9,8,1,4,2,4,4,0,4,2,0,5,0,6,9,6,1,9,7,5,5,0,2,
%T A199665 2,3,4,0,0,4,3,8,1,4,9,4,1,5,5,9,3,8,6,5,5,0,1,9,5,0,6,5,6,2,0,1,0,5,
%U A199665 5,9,7,4,0,7,4,5,0,6,2,1,6,8,5,0,2,5,1,0,1,5,1,7,3,0,9,3,9,5,0
%N A199665 Decimal expansion of x>0 satisfying 3*x^2+x*cos(x)=4*sin(x).
%C A199665 See A199597 for a guide to related sequences. The Mathematica program includes a graph.
%H A199665 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A199665 0.947972647889814244042050696197550223400...
%t A199665 a = 3; b = 1; c = 4;
%t A199665 f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
%t A199665 Plot[{f[x], g[x]}, {x, -1, 1.5}, {AxesOrigin -> {0, 0}}]
%t A199665 r = x /. FindRoot[f[x] == g[x], {x, .94, .95}, WorkingPrecision -> 110]
%t A199665 RealDigits[r] (* A199665 *)
%Y A199665 Cf. A199597.
%K A199665 nonn,cons
%O A199665 0,1
%A A199665 _Clark Kimberling_, Nov 09 2011