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 A198232 #6 Feb 07 2025 16:44:05 %S A198232 1,2,0,0,7,7,7,2,7,8,5,1,7,3,9,1,2,9,0,6,6,3,6,5,4,5,8,7,6,8,2,6,7,1, %T A198232 2,8,3,9,0,6,4,6,0,6,7,4,0,2,6,8,3,9,5,7,3,8,7,5,7,4,8,1,3,5,6,4,6,4, %U A198232 3,0,1,6,8,4,8,9,1,9,8,5,8,9,2,9,7,8,0,6,7,0,0,6,1,6,9,7,4,2,9 %N A198232 Decimal expansion of least x having 3*x^2+3x=2*cos(x). %C A198232 See A197737 for a guide to related sequences. The Mathematica program includes a graph. %e A198232 least x: -1.200777278517391290663654587682671... %e A198232 greatest x: 0.4258157107483169845689223216341480870... %t A198232 a = 3; b = 3; c = 2; %t A198232 f[x_] := a*x^2 + b*x; g[x_] := c*Cos[x] %t A198232 Plot[{f[x], g[x]}, {x, -2, 1}] %t A198232 r1 = x /. FindRoot[f[x] == g[x], {x, -1.3, -1.2}, WorkingPrecision -> 110] %t A198232 RealDigits[r1](* A198232 *) %t A198232 r2 = x /. FindRoot[f[x] == g[x], {x, .42, .43}, WorkingPrecision -> 110] %t A198232 RealDigits[r2](* A198233 *) %Y A198232 Cf. A197737. %K A198232 nonn,cons %O A198232 1,2 %A A198232 _Clark Kimberling_, Oct 23 2011