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 A198942 #8 Feb 07 2025 17:58:10 %S A198942 1,2,9,9,9,9,9,5,9,7,9,5,7,0,4,0,5,3,4,1,8,4,7,9,3,2,7,7,0,5,9,1,7,9, %T A198942 1,3,9,9,9,5,9,1,1,1,1,6,4,7,4,6,2,0,5,3,2,4,6,1,4,4,2,4,5,8,5,4,4,9, %U A198942 6,1,0,1,7,0,1,8,0,1,7,0,0,3,6,1,9,0,2,9,6,6,7,6,6,7,3,9,1,5,1 %N A198942 Decimal expansion of x>0 satisfying 3*x^2-4*cos(x)=4. %C A198942 Distance from x to 13/10 is < 1/10^6. %C A198942 See A198755 for a guide to related sequences. The Mathematica program includes a graph. %H A198942 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>. %e A198942 1.2999995979570405341847932770591791399959... %t A198942 a = 3; b = -4; c = 4; %t A198942 f[x_] := a*x^2 + b*Cos[x]; g[x_] := c %t A198942 Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}] %t A198942 r = x /. FindRoot[f[x] == g[x], {x, 1.29, 1.3}, WorkingPrecision -> 110] %t A198942 RealDigits[r] (* A198942 *) %Y A198942 Cf. A198755. %K A198942 nonn,cons %O A198942 1,2 %A A198942 _Clark Kimberling_, Nov 01 2011