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 A199380 #8 Feb 07 2025 19:53:56
%S A199380 8,3,2,1,0,1,8,4,8,7,9,2,1,4,9,1,5,3,6,4,7,9,4,0,4,7,8,9,1,7,9,8,7,1,
%T A199380 6,5,2,1,5,6,1,9,1,3,8,1,9,9,0,3,3,1,5,2,9,0,9,5,2,5,9,1,2,4,9,4,2,7,
%U A199380 0,0,7,6,9,6,8,7,1,5,1,3,4,9,5,0,5,4,6,6,2,5,8,1,3,1,9,4,8,6,8
%N A199380 Decimal expansion of x>0 satisfying 2*x^2+x*sin(x)=2.
%C A199380 See A199370 for a guide to related sequences. The Mathematica program includes a graph.
%H A199380 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A199380 0.83210184879214915364794047891798716521561...
%t A199380 a = 2; b = 1; c = 2;
%t A199380 f[x_] := a*x^2 + b*x*Sin[x]; g[x_] := c
%t A199380 Plot[{f[x], g[x]}, {x, -1, Pi}, {AxesOrigin -> {0, 0}}]
%t A199380 r = x /. FindRoot[f[x] == g[x], {x, .83, .84}, WorkingPrecision -> 110]
%t A199380 RealDigits[r] (* A199380 *)
%Y A199380 Cf. A199370.
%K A199380 nonn,cons
%O A199380 0,1
%A A199380 _Clark Kimberling_, Nov 05 2011