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 A199382 #8 Feb 07 2025 19:53:51
%S A199382 5,0,5,3,3,6,8,3,9,3,7,9,1,7,2,1,1,8,3,1,9,6,2,7,1,0,4,7,5,9,3,7,9,6,
%T A199382 8,7,2,8,0,4,2,3,4,0,6,0,2,0,5,9,7,6,5,5,8,4,6,7,0,4,0,0,5,3,8,1,2,5,
%U A199382 4,7,0,3,2,7,6,7,1,7,8,6,7,3,0,2,4,6,5,9,5,2,3,9,4,4,6,4,8,1,6
%N A199382 Decimal expansion of x>0 satisfying 2*x^2+2*x*sin(x)=1.
%C A199382 See A199370 for a guide to related sequences. The Mathematica program includes a graph.
%H A199382 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A199382 0.5053368393791721183196271047593796872804234060...
%t A199382 a = 2; b = 2; c = 1;
%t A199382 f[x_] := a*x^2 + b*x*Sin[x]; g[x_] := c
%t A199382 Plot[{f[x], g[x]}, {x, -1, Pi}, {AxesOrigin -> {0, 0}}]
%t A199382 r = x /. FindRoot[f[x] == g[x], {x, .50, .51}, WorkingPrecision -> 110]
%t A199382 RealDigits[r] (* A199382 *)
%Y A199382 Cf. A199370.
%K A199382 nonn,cons
%O A199382 0,1
%A A199382 _Clark Kimberling_, Nov 05 2011