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 A199736 #8 Feb 08 2025 13:26:37
%S A199736 1,5,1,9,5,1,4,9,2,6,4,7,0,4,0,1,2,2,1,5,8,5,7,0,5,1,6,2,0,9,8,1,4,8,
%T A199736 9,9,0,5,5,6,3,3,9,8,8,6,8,9,3,4,3,5,6,3,8,8,5,1,9,2,1,5,1,6,1,7,9,8,
%U A199736 1,3,3,8,5,2,1,7,2,7,8,9,7,2,6,8,0,2,0,5,3,1,2,0,1,8,1,2,1,6,3
%N A199736 Decimal expansion of greatest x satisfying x^2-4*x*cos(x)=2*sin(x).
%C A199736 See A199597 for a guide to related sequences. The Mathematica program includes a graph.
%H A199736 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A199736 least: -3.69221424543584046112101682937268753850...
%e A199736 greatest: 1.519514926470401221585705162098148990...
%t A199736 a = 1; b = -4; c = 2;
%t A199736 f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
%t A199736 Plot[{f[x], g[x]}, {x, -4, 2}, {AxesOrigin -> {0, 0}}]
%t A199736 r = x /. FindRoot[f[x] == g[x], {x, -3.7, -3.6}, WorkingPrecision -> 110]
%t A199736 RealDigits[r] (* A199735 least root *)
%t A199736 r = x /. FindRoot[f[x] == g[x], {x, 1.5, 1.6}, WorkingPrecision -> 110]
%t A199736 RealDigits[r] (* A199736 greatest root *)
%Y A199736 Cf. A199597.
%K A199736 nonn,cons
%O A199736 1,2
%A A199736 _Clark Kimberling_, Nov 09 2011