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 A199434 #8 Feb 07 2025 20:08:57
%S A199434 8,4,6,9,9,7,5,3,0,0,4,5,2,4,5,5,8,9,4,0,0,8,1,0,6,3,7,5,7,0,2,2,8,6,
%T A199434 7,9,5,2,5,1,7,8,6,7,7,4,2,8,1,1,7,7,3,5,3,1,0,2,2,1,4,9,1,7,2,9,1,9,
%U A199434 7,2,9,1,9,6,2,6,5,0,3,5,1,8,5,4,7,1,9,9,4,4,4,2,9,3,5,3,6,5,0
%N A199434 Decimal expansion of x>0 satisfying x^2+2*x*sin(x)=3*cos(x).
%C A199434 See A199370 for a guide to related sequences. The Mathematica program includes a graph.
%H A199434 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A199434 0.8469975300452455894008106375702286795251786774...
%t A199434 a = 1; b = 2; c = 3;
%t A199434 f[x_] := a*x^2 + b*x*Sin[x]; g[x_] := c*Cos[x]
%t A199434 Plot[{f[x], g[x]}, {x, -Pi, Pi}, {AxesOrigin -> {0, 0}}]
%t A199434 r = x /. FindRoot[f[x] == g[x], {x, .84, .85}, WorkingPrecision -> 110]
%t A199434 RealDigits[r] (* A199434 *)
%Y A199434 Cf. A199429.
%K A199434 nonn,cons
%O A199434 0,1
%A A199434 _Clark Kimberling_, Nov 06 2011