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 A197738 #6 Mar 30 2012 18:57:53 %S A197738 5,5,0,0,0,9,3,4,9,9,2,7,2,6,1,5,6,6,6,6,4,9,5,3,6,1,9,4,7,1,7,2,9,2, %T A197738 6,1,1,6,7,2,8,5,0,9,2,4,3,5,7,9,3,7,8,4,5,7,0,9,3,9,2,2,0,4,2,5,2,6, %U A197738 0,4,4,5,2,5,2,4,4,5,3,3,2,8,5,3,9,2,4,4,5,4,3,1,6,4,9,6,4,4,7 %N A197738 Decimal expansion of x>0 having x^2+x=cos(x). %C A197738 For a discussion and guide to related sequences, see A197737. %e A197738 negative: -1.25115183522076481159287006878816185994... %e A197738 positive: 0.55000934992726156666495361947172926116... %t A197738 a = 1; b = 1; c = 1; %t A197738 f[x_] := a*x^2 + b*x; g[x_] := c*Cos[x] %t A197738 Plot[{f[x], g[x]}, {x, -2, 1}] %t A197738 r1 = x /. FindRoot[f[x] == g[x], {x, -1.26, -1.25}, WorkingPrecision -> 110] %t A197738 RealDigits[r1] (* A197737 *) %t A197738 r1 = x /. FindRoot[f[x] == g[x], {x, .55, .551}, WorkingPrecision -> 110] %t A197738 RealDigits[r1] (* A197738 *) %Y A197738 Cf. A197737. %K A197738 nonn,cons %O A197738 0,1 %A A197738 _Clark Kimberling_, Oct 20 2011