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 A198361 #6 Feb 07 2025 16:44:05 %S A198361 9,1,6,1,5,1,0,6,1,0,9,6,8,3,5,7,7,0,0,0,1,3,5,0,7,2,8,0,3,9,4,6,3,9, %T A198361 1,8,9,1,2,6,5,1,0,6,8,0,9,3,7,1,6,1,7,1,8,8,4,2,5,1,7,8,5,3,2,1,3,7, %U A198361 6,0,0,8,0,0,5,1,4,4,9,3,8,7,1,5,7,8,9,2,0,1,9,0,1,3,3,8,3,9,8 %N A198361 Decimal expansion of least x having 4*x^2+3x=cos(x). %C A198361 See A197737 for a guide to related sequences. The Mathematica program includes a graph. %e A198361 least x: -0.91615106109683577000135072803946391... %e A198361 greatest x: 0.244045322629135591466858282939448079493... %t A198361 a = 4; b = 3; c = 1; %t A198361 f[x_] := a*x^2 + b*x; g[x_] := c*Cos[x] %t A198361 Plot[{f[x], g[x]}, {x, -1, 1}] %t A198361 r1 = x /. FindRoot[f[x] == g[x], {x, -1, -.9}, WorkingPrecision -> 110] %t A198361 RealDigits[r1] (* A198361 *) %t A198361 r2 = x /. FindRoot[f[x] == g[x], {x, .24, .25}, WorkingPrecision -> 110] %t A198361 RealDigits[r2] (* A198362 *) %Y A198361 Cf. A197737. %K A198361 nonn,cons %O A198361 0,1 %A A198361 _Clark Kimberling_, Oct 24 2011