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 A199066 #8 Feb 07 2025 16:44:05
%S A199066 1,0,3,4,5,0,2,6,9,1,7,7,7,3,8,2,7,3,4,5,2,1,7,6,7,9,0,0,8,8,5,1,3,1,
%T A199066 0,5,8,1,1,0,1,9,0,5,2,6,6,5,5,7,0,4,4,8,7,4,1,2,7,1,1,3,0,7,8,5,5,0,
%U A199066 2,0,5,6,4,3,9,9,6,9,8,5,2,2,9,6,7,5,3,0,1,0,6,4,9,3,9,0,8,4,4
%N A199066 Decimal expansion of x>0 satisfying 2*x^2+sin(x)=3.
%C A199066 See A198866 for a guide to related sequences. The Mathematica program includes a graph.
%H A199066 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A199066 negative: -1.411987310232303288873063579688459791640...
%e A199066 positive: 1.03450269177738273452176790088513105811...
%t A199066 a = 2; b = 1; c = 3;
%t A199066 f[x_] := a*x^2 + b*Sin[x]; g[x_] := c
%t A199066 Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]
%t A199066 r = x /. FindRoot[f[x] == g[x], {x, -1.5, -1.4}, WorkingPrecision -> 110]
%t A199066 RealDigits[r] (* A199065 *)
%t A199066 r = x /. FindRoot[f[x] == g[x], {x, 1.03, 1.04}, WorkingPrecision -> 110]
%t A199066 RealDigits[r] (* A199066 *)
%Y A199066 Cf. A198866.
%K A199066 nonn,cons
%O A199066 1,3
%A A199066 _Clark Kimberling_, Nov 02 2011