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 A199608 #8 Feb 08 2025 22:34:54
%S A199608 3,0,4,8,1,3,8,5,9,5,3,6,5,1,1,6,6,8,9,1,4,4,6,0,5,0,5,9,3,7,3,9,0,5,
%T A199608 2,2,0,8,5,4,6,4,6,8,6,6,9,9,5,5,4,2,6,9,2,1,5,9,2,4,3,6,0,5,4,8,2,5,
%U A199608 1,2,3,3,6,9,6,4,0,1,1,0,6,2,4,0,2,2,9,6,6,8,6,6,4,7,6,6,7,6,8
%N A199608 Decimal expansion of greatest x satisfying x^2+3*x*cos(x)=2*sin(x).
%C A199608 See A199597 for a guide to related sequences. The Mathematica program includes a graph.
%H A199608 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A199608 least: -0.5973392503648539750049736135997669028331...
%e A199608 greatest: 3.0481385953651166891446050593739052208...
%t A199608 a = 1; b = 3; c = 2;
%t A199608 f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
%t A199608 Plot[{f[x], g[x]}, {x, -2, 4}, {AxesOrigin -> {0, 0}}]
%t A199608 r = x /. FindRoot[f[x] == g[x], {x, -.6, -.5}, WorkingPrecision -> 110]
%t A199608 RealDigits[r] (* A199607, least of 4 roots *)
%t A199608 r = x /. FindRoot[f[x] == g[x], {x, 3, 3.1}, WorkingPrecision -> 110]
%t A199608 RealDigits[r] (* A199708, greatest of 4 roots *)
%Y A199608 Cf. A199597.
%K A199608 nonn,cons
%O A199608 1,1
%A A199608 _Clark Kimberling_, Nov 08 2011