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 A197807 #6 Feb 07 2025 16:44:04 %S A197807 1,1,3,0,6,1,9,0,7,2,7,7,6,3,9,4,9,6,1,2,8,8,6,5,0,0,5,8,9,4,5,4,0,6, %T A197807 8,7,0,2,7,8,6,0,8,7,8,8,9,6,9,4,2,4,3,8,5,4,2,0,9,1,2,5,6,4,6,8,5,8, %U A197807 7,7,4,5,8,3,3,4,1,9,9,5,8,5,0,5,3,0,9,6,7,8,3,5,6,7,0,6,5,8,5 %N A197807 Decimal expansion of x>0 having x^2=3*cos(x). %C A197807 See A197737 for a guide to related sequences. The Mathematica program includes a graph. %e A197807 x=1.13061907277639496128865005894540687027860878... %t A197807 a = 1; b = 0; c = 3; %t A197807 f[x_] := a*x^2 + b*x; g[x_] := c*Cos[x] %t A197807 Plot[{f[x], g[x]}, {x, -1.5, 1.5}] %t A197807 r1 = x /. FindRoot[f[x] == g[x], {x, 1.1, 1.2}, WorkingPrecision -> 110] %t A197807 RealDigits[r1] (* A197807 *) %Y A197807 Cf. A197737. %K A197807 nonn,cons %O A197807 1,3 %A A197807 _Clark Kimberling_, Oct 20 2011