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 A199064 #8 Feb 07 2025 16:44:05
%S A199064 8,0,0,6,7,8,3,0,4,5,7,0,0,9,1,1,2,1,1,2,4,1,3,4,0,6,6,0,4,5,3,2,7,5,
%T A199064 6,2,0,5,7,6,8,7,6,6,4,6,2,2,7,2,4,0,5,6,9,1,3,6,4,5,5,1,9,4,5,3,5,4,
%U A199064 4,3,9,3,1,7,5,4,2,0,8,6,9,8,6,6,3,1,8,3,9,2,7,7,9,0,2,5,5,1,5
%N A199064 Decimal expansion of x>0 satisfying 2*x^2+sin(x)=2.
%C A199064 See A198866 for a guide to related sequences. The Mathematica program includes a graph.
%H A199064 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A199064 negative: -1.21165128243157712269097010844196865387...
%e A199064 positive: 0.80067830457009112112413406604532756205...
%t A199064 a = 2; b = 1; c = 2;
%t A199064 f[x_] := a*x^2 + b*Sin[x]; g[x_] := c
%t A199064 Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]
%t A199064 r = x /. FindRoot[f[x] == g[x], {x, -1.3, -1.2}, WorkingPrecision -> 110]
%t A199064 RealDigits[r] (* A199063 *)
%t A199064 r = x /. FindRoot[f[x] == g[x], {x, .80, .81}, WorkingPrecision -> 110]
%t A199064 RealDigits[r] (* A199064 *)
%Y A199064 Cf. A198866.
%K A199064 nonn,cons
%O A199064 0,1
%A A199064 _Clark Kimberling_, Nov 02 2011