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 A198938 #8 Feb 07 2025 17:57:53 %S A198938 7,8,2,4,5,9,2,4,5,5,5,0,8,7,9,2,6,8,1,0,9,7,7,1,9,5,1,8,5,3,5,3,5,5, %T A198938 0,2,6,1,2,0,3,7,2,3,0,1,5,1,9,8,4,4,3,3,3,4,0,4,7,0,2,6,7,3,4,0,5,3, %U A198938 9,2,2,4,0,9,2,1,5,3,6,8,4,5,8,6,8,6,5,7,9,7,8,8,5,8,3,3,2,1,1 %N A198938 Decimal expansion of x>0 satisfying 3*x^2-4*cos(x)=-1. %C A198938 See A198755 for a guide to related sequences. The Mathematica program includes a graph. %H A198938 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>. %e A198938 0.782459245550879268109771951853535502612037... %t A198938 a = 3; b = -4; c = -1; %t A198938 f[x_] := a*x^2 + b*Cos[x]; g[x_] := c %t A198938 Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}] %t A198938 r = x /. FindRoot[f[x] == g[x], {x, .78, .79}, WorkingPrecision -> 110] %t A198938 RealDigits[r] (* A198938 *) %Y A198938 Cf. A198755. %K A198938 nonn,cons %O A198938 0,1 %A A198938 _Clark Kimberling_, Nov 01 2011