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 A198940 #8 Feb 07 2025 17:57:47 %S A198940 1,1,1,8,0,1,5,0,5,0,8,3,7,0,2,0,2,5,5,8,4,4,1,3,1,2,6,5,4,8,7,6,4,2, %T A198940 4,2,6,6,3,7,0,5,5,7,7,4,1,4,0,7,6,6,1,6,7,8,2,5,7,9,9,4,8,9,0,5,0,3, %U A198940 6,2,0,5,1,4,4,7,3,6,1,1,9,7,0,5,8,9,4,1,0,3,1,3,1,8,3,9,1,4,8 %N A198940 Decimal expansion of x>0 satisfying 3*x^2-4*cos(x)=2. %C A198940 See A198755 for a guide to related sequences. The Mathematica program includes a graph. %H A198940 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>. %e A198940 1.118015050837020255844131265487642426637055... %t A198940 a = 3; b = -4; c = 2; %t A198940 f[x_] := a*x^2 + b*Cos[x]; g[x_] := c %t A198940 Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}] %t A198940 r = x /. FindRoot[f[x] == g[x], {x, 1.11, 1.12}, WorkingPrecision -> 110] %t A198940 RealDigits[r] (* A198940 *) %Y A198940 Cf. A198755. %K A198940 nonn,cons %O A198940 1,4 %A A198940 _Clark Kimberling_, Nov 01 2011