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 A199789 #11 Feb 08 2025 22:30:30
%S A199789 9,0,6,2,4,7,6,9,1,6,3,5,6,4,4,0,7,9,9,1,8,6,2,3,6,3,1,0,2,9,6,4,6,7,
%T A199789 4,1,4,2,5,1,9,2,7,7,4,8,0,8,0,0,3,6,7,8,6,9,4,0,0,0,9,6,1,3,7,2,9,8,
%U A199789 7,2,0,1,3,0,7,6,3,3,7,9,1,9,7,9,6,3,5,8,5,8,3,4,5,6,4,9,7,4,4,6,6
%N A199789 Decimal expansion of x > 0 satisfying 3*x^2 - 3*x*cos(x) = sin(x).
%C A199789 See A199597 for a guide to related sequences. The Mathematica program includes a graph.
%H A199789 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A199789 0.90624769163564407991862363102964674142519277480...
%t A199789 a = 3; b = -3; c = 1;
%t A199789 f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
%t A199789 Plot[{f[x], g[x]}, {x, -1, 2}, {AxesOrigin -> {0, 0}}]
%t A199789 r = x /. FindRoot[f[x] == g[x], {x, .90, .91}, WorkingPrecision -> 110]
%t A199789 RealDigits[r] (* A199789 *)
%Y A199789 Cf. A199597.
%K A199789 nonn,cons
%O A199789 0,1
%A A199789 _Clark Kimberling_, Nov 10 2011
%E A199789 a(98) corrected by _Georg Fischer_, Aug 03 2021