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 A199435 #8 Feb 07 2025 20:10:08
%S A199435 4,7,7,9,4,7,5,5,4,1,2,1,6,8,7,3,5,6,5,1,9,7,2,3,3,4,5,9,4,0,4,1,4,5,
%T A199435 3,0,7,3,8,9,7,9,5,8,2,3,4,9,4,4,2,7,6,5,2,2,0,6,4,1,4,3,8,0,0,6,5,8,
%U A199435 9,7,3,8,7,1,7,2,3,1,9,7,8,3,0,5,1,3,0,5,2,4,2,6,6,3,6,2,4,0,6
%N A199435 Decimal expansion of x>0 satisfying x^2+3*x*sin(x)=cos(x).
%C A199435 See A199370 for a guide to related sequences. The Mathematica program includes a graph.
%H A199435 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A199435 0.477947554121687356519723345940414530738979582349442...
%t A199435 a = 1; b = 3; c = 1;
%t A199435 f[x_] := a*x^2 + b*x*Sin[x]; g[x_] := c*Cos[x]
%t A199435 Plot[{f[x], g[x]}, {x, -Pi, Pi}, {AxesOrigin -> {0, 0}}]
%t A199435 r = x /. FindRoot[f[x] == g[x], {x, .47, .48}, WorkingPrecision -> 110]
%t A199435 RealDigits[r] (* A199435 *)
%Y A199435 Cf. A199429.
%K A199435 nonn,cons
%O A199435 0,1
%A A199435 _Clark Kimberling_, Nov 06 2011