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 A199507 #8 Feb 08 2025 10:01:55
%S A199507 9,2,1,5,5,7,1,1,0,1,7,0,3,2,1,7,2,5,9,9,3,7,4,8,1,2,3,1,8,8,3,0,5,6,
%T A199507 5,5,9,3,4,3,0,5,1,9,6,4,9,7,8,9,7,8,8,4,1,8,9,1,4,0,2,5,4,4,1,6,0,0,
%U A199507 8,7,3,9,9,6,2,9,8,5,5,5,4,1,2,5,5,5,1,4,3,3,9,8,3,5,5,5,1,5,2
%N A199507 Decimal expansion of x>0 satisfying 3*x^2-x*sin(x)=3*cos(x).
%C A199507 See A199429 for a guide to related sequences. The Mathematica program includes a graph.
%H A199507 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A199507 0.92155711017032172599374812318830565593430519...
%t A199507 a = 3; b = -1; c = 3;
%t A199507 f[x_] := a*x^2 + b*x*Sin[x]; g[x_] := c*Cos[x]
%t A199507 Plot[{f[x], g[x]}, {x, -Pi, Pi}, {AxesOrigin -> {0, 0}}]
%t A199507 r = x /. FindRoot[f[x] == g[x], {x, .92, .93}, WorkingPrecision -> 110]
%t A199507 RealDigits[r] (* A199507 *)
%Y A199507 Cf. A199429.
%K A199507 nonn,cons
%O A199507 0,1
%A A199507 _Clark Kimberling_, Nov 07 2011