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 A198098 #7 Feb 07 2025 16:44:04 %S A198098 6,7,2,2,5,5,1,6,7,7,3,8,2,5,6,8,8,0,7,4,8,6,0,4,6,1,7,8,7,0,3,2,5,9, %T A198098 7,6,6,5,7,5,0,9,3,6,8,2,1,3,9,8,1,8,9,5,5,0,1,7,7,5,2,3,5,7,8,1,1,2, %U A198098 9,5,4,4,7,2,1,2,4,8,1,8,8,7,8,6,0,8,5,0,8,3,4,5,5,2,9,9,8,0,4 %N A198098 Decimal expansion of least x having x^2-3x=-2*cos(x). %C A198098 See A197737 for a guide to related sequences. The Mathematica program includes a graph. %e A198098 least x: 0.672255167738256880748604617870325976... %e A198098 greatest x: 3.525867901227958617954825081711394... %t A198098 a = 1; b = -3; c = -2; %t A198098 f[x_] := a*x^2 + b*x; g[x_] := c*Cos[x] %t A198098 Plot[{f[x], g[x]}, {x, 0, 4}] %t A198098 r1 = x /. FindRoot[f[x] == g[x], {x, .65, .68}, WorkingPrecision -> 110] %t A198098 RealDigits[r1] (* A198098 *) %t A198098 r2 = x /. FindRoot[f[x] == g[x], {x, 3.5, 3.6}, WorkingPrecision -> 110] %t A198098 RealDigits[r2] (* A198099 *) %Y A198098 Cf. A197737. %K A198098 nonn,cons %O A198098 0,1 %A A198098 _Clark Kimberling_, Oct 21 2011