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 A198110 #7 Feb 07 2025 16:44:04 %S A198110 6,3,4,5,5,9,9,4,5,5,2,6,6,2,2,7,4,0,0,6,7,7,6,8,3,4,3,7,6,9,8,5,4,4, %T A198110 8,0,3,0,7,5,7,1,6,7,8,2,2,5,1,8,8,3,6,2,1,7,7,0,5,1,5,4,1,6,2,5,6,9, %U A198110 3,7,6,9,2,8,9,1,9,5,4,3,1,2,9,7,3,0,1,4,0,1,9,5,5,1,3,1,8,3,1 %N A198110 Decimal expansion of x>0 having 2*x^2=cos(x). %C A198110 See A197737 for a guide to related sequences. The Mathematica program includes a graph. %e A198110 x=0.6345599455266227400677683437698... %t A198110 a = 2; b = 0; c = 1; %t A198110 f[x_] := a*x^2 + b*x; g[x_] := c*Cos[x] %t A198110 Plot[{f[x], g[x]}, {x, -1, 1}] %t A198110 r = x /. FindRoot[f[x] == g[x], {x, 0.63, 0.64}, WorkingPrecision -> 110] %t A198110 RealDigits[r] (* A198110 *) %Y A198110 Cf. A197737. %K A198110 nonn,cons %O A198110 0,1 %A A198110 _Clark Kimberling_, Oct 21 2011