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 A199002 #8 Feb 07 2025 19:46:10 %S A199002 9,2,3,5,6,7,9,0,5,1,8,7,8,9,4,5,4,1,8,5,8,5,9,2,9,7,3,9,7,8,4,1,0,1, %T A199002 6,3,8,9,9,0,4,8,6,4,1,1,7,7,7,2,1,0,4,7,0,7,6,1,8,0,9,1,3,8,2,3,5,1, %U A199002 4,1,9,7,8,7,4,4,0,1,2,4,3,6,7,8,9,1,4,8,5,0,0,6,4,5,5,3,6,8,9 %N A199002 Decimal expansion of x>0 satisfying 4*x^2-4*cos(x)=1. %C A199002 See A198755 for a guide to related sequences. The Mathematica program includes a graph. %H A199002 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>. %e A199002 0.9235679051878945418585929739784101638990486411777... %t A199002 a = 4; b = -4; c = 1; %t A199002 f[x_] := a*x^2 + b*Cos[x]; g[x_] := c %t A199002 Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}] %t A199002 r = x /. FindRoot[f[x] == g[x], {x, .92, .93}, WorkingPrecision -> 110] %t A199002 RealDigits[r] (* A199002 *) %Y A199002 Cf. A198755. %K A199002 nonn,cons %O A199002 0,1 %A A199002 _Clark Kimberling_, Nov 01 2011