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 A198992 #8 Feb 07 2025 19:42:01 %S A198992 7,7,8,4,5,8,8,9,9,8,1,9,6,9,4,6,8,0,4,5,3,2,2,4,8,6,5,8,4,0,5,8,9,2, %T A198992 7,5,2,6,5,8,4,1,2,6,2,9,3,0,8,3,3,6,3,2,4,3,8,4,7,7,2,4,6,9,3,1,6,6, %U A198992 9,5,8,7,3,4,2,6,8,8,6,8,5,4,3,2,6,5,8,1,0,9,2,5,4,0,4,6,3,3,4 %N A198992 Decimal expansion of x>0 satisfying 4*x^2-2*cos(x)=1. %C A198992 See A198755 for a guide to related sequences. The Mathematica program includes a graph. %H A198992 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>. %e A198992 0.77845889981969468045322486584058927526584126293... %t A198992 a = 4; b = -2; c = 1; %t A198992 f[x_] := a*x^2 + b*Cos[x]; g[x_] := c %t A198992 Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}] %t A198992 r = x /. FindRoot[f[x] == g[x], {x, .77, .78}, WorkingPrecision -> 110] %t A198992 RealDigits[r] (* A198992 *) %Y A198992 Cf. A198755. %K A198992 nonn,cons %O A198992 0,1 %A A198992 _Clark Kimberling_, Nov 01 2011