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 A198111 #8 Feb 07 2025 16:44:04 %S A198111 9,4,0,3,4,9,9,6,5,3,5,5,0,5,3,8,8,8,2,2,9,3,9,3,6,8,7,6,1,4,9,6,8,9, %T A198111 0,9,7,7,0,7,2,7,6,0,7,4,2,6,4,6,4,3,9,3,6,8,6,1,6,4,4,5,1,6,3,1,8,3, %U A198111 0,4,5,5,1,7,4,7,9,6,9,1,4,9,4,6,8,9,3,4,7,0,1,5,8,5,8,2,8,7,4 %N A198111 Decimal expansion of x>0 having 2*x^2=3*cos(x). %C A198111 See A197737 for a guide to related sequences. The Mathematica program includes a graph. %e A198111 x=0.940349965355053888229393687614968909... %t A198111 a = 2; b = 0; c = 3; %t A198111 f[x_] := a*x^2 + b*x; g[x_] := c*Cos[x] %t A198111 Plot[{f[x], g[x]}, {x, -1, 1}] %t A198111 r = x /. FindRoot[f[x] == g[x], {x, 0.94, 0.95}, WorkingPrecision -> 110] %t A198111 RealDigits[r] (* A198111 *) %Y A198111 Cf. A197737. %K A198111 nonn,cons %O A198111 0,1 %A A198111 _Clark Kimberling_, Oct 21 2011