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 A199384 #8 Feb 07 2025 19:56:34
%S A199384 4,5,1,8,0,1,2,3,4,3,3,3,7,3,7,4,0,6,1,3,1,3,3,7,2,4,2,9,8,3,0,8,1,3,
%T A199384 6,6,9,8,9,3,2,6,6,9,2,4,2,7,1,7,1,5,3,1,1,3,6,6,5,4,2,3,3,9,6,9,5,4,
%U A199384 6,0,8,2,7,9,8,0,4,3,6,4,6,3,1,9,3,2,6,5,7,0,6,5,5,1,7,3,1,2,9
%N A199384 Decimal expansion of x>0 satisfying 2*x^2+3*x*sin(x)=1.
%C A199384 See A199370 for a guide to related sequences. The Mathematica program includes a graph.
%H A199384 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A199384 0.451801234333737406131337242983081366989326...
%t A199384 a = 2; b = 3; c = 1;
%t A199384 f[x_] := a*x^2 + b*x*Sin[x]; g[x_] := c
%t A199384 Plot[{f[x], g[x]}, {x, -1, Pi}, {AxesOrigin -> {0, 0}}]
%t A199384 r = x /. FindRoot[f[x] == g[x], {x, .45, .46}, WorkingPrecision -> 110]
%t A199384 RealDigits[r] (* A199384 *)
%Y A199384 Cf. A199370.
%K A199384 nonn,cons
%O A199384 0,1
%A A199384 _Clark Kimberling_, Nov 05 2011