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 A199607 #8 Feb 08 2025 10:08:47
%S A199607 5,9,7,3,3,9,2,5,0,3,6,4,8,5,3,9,7,5,0,0,4,9,7,3,6,1,3,5,9,9,7,6,6,9,
%T A199607 0,2,8,3,3,1,8,5,7,5,6,4,1,8,4,9,2,4,1,1,3,2,7,4,2,3,8,5,1,2,2,2,8,8,
%U A199607 6,9,5,9,3,7,4,7,8,7,0,0,7,9,2,5,4,4,7,4,1,3,0,9,1,3,3,4,4,3,4
%N A199607 Decimal expansion of least x satisfying x^2+3*x*cos(x)=2*sin(x).
%C A199607 See A199597 for a guide to related sequences. The Mathematica program includes a graph.
%H A199607 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A199607 least: -0.5973392503648539750049736135997669028331...
%e A199607 greatest: 3.0481385953651166891446050593739052208...
%t A199607 a = 1; b = 3; c = 2;
%t A199607 f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
%t A199607 Plot[{f[x], g[x]}, {x, -2, 4}, {AxesOrigin -> {0, 0}}]
%t A199607 r = x /. FindRoot[f[x] == g[x], {x, -.6, -.5}, WorkingPrecision -> 110]
%t A199607 RealDigits[r] (* A199607, least of 4 roots *)
%t A199607 r = x /. FindRoot[f[x] == g[x], {x, 3, 3.1}, WorkingPrecision -> 110]
%t A199607 RealDigits[r] (* A199708, greatest of 4 roots *)
%Y A199607 Cf. A199597.
%K A199607 nonn,cons
%O A199607 0,1
%A A199607 _Clark Kimberling_, Nov 08 2011