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 A198359 #6 Feb 07 2025 16:44:05 %S A198359 9,5,4,3,4,7,7,7,6,6,0,8,7,5,5,6,7,2,1,2,0,9,0,0,9,5,4,7,9,3,3,9,1,3, %T A198359 7,3,2,9,4,4,2,8,2,7,1,3,8,3,6,2,0,7,0,8,3,5,8,2,4,7,6,5,0,6,4,0,9,9, %U A198359 8,5,6,9,4,5,8,2,9,1,3,1,7,6,9,1,7,4,3,5,0,6,3,4,2,2,2,0,1,6,6 %N A198359 Decimal expansion of least x having 4*x^2+2x=3*cos(x). %C A198359 See A197737 for a guide to related sequences. The Mathematica program includes a graph. %e A198359 least x: -0.95434777660875567212090095479339137329... %e A198359 greatest x: 0.58045712444593316179721965142881907589... %t A198359 a = 4; b = 2; c = 3; %t A198359 f[x_] := a*x^2 + b*x; g[x_] := c*Cos[x] %t A198359 Plot[{f[x], g[x]}, {x, -1, 1}] %t A198359 r1 = x /. FindRoot[f[x] == g[x], {x, -1, -.9}, WorkingPrecision -> 110] %t A198359 RealDigits[r1] (* A198359 *) %t A198359 r2 = x /. FindRoot[f[x] == g[x], {x, .58, .59}, WorkingPrecision -> 110] %t A198359 RealDigits[r2] (* A198360 *) %Y A198359 Cf. A197737. %K A198359 nonn,cons %O A198359 0,1 %A A198359 _Clark Kimberling_, Oct 24 2011