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 A199791 #8 Feb 08 2025 22:31:14 %S A199791 1,1,0,6,5,5,5,0,9,2,4,6,9,1,8,0,9,7,0,2,4,4,6,4,6,1,1,4,9,7,3,3,0,2, %T A199791 4,7,1,5,9,9,9,6,1,2,7,2,7,7,6,6,2,6,1,4,8,9,4,4,2,9,4,0,2,1,7,6,2,4, %U A199791 2,3,9,9,0,1,7,1,3,6,9,5,6,5,9,9,8,1,6,3,4,6,7,6,7,7,4,9,6,9,6 %N A199791 Decimal expansion of x>0 satisfying 3*x^2-2*x*cos(x)=3*sin(x). %C A199791 See A199597 for a guide to related sequences. The Mathematica program includes a graph. %H A199791 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>. %e A199791 1.1065550924691809702446461149733024715999... %t A199791 a = 3; b = -2; c = 3; %t A199791 f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x] %t A199791 Plot[{f[x], g[x]}, {x, -1, 2}, {AxesOrigin -> {0, 0}}] %t A199791 r = x /. FindRoot[f[x] == g[x], {x, 1.1, 1.2}, WorkingPrecision -> 110] %t A199791 RealDigits[r] (* A199791 *) %Y A199791 Cf. A199597. %K A199791 nonn,cons %O A199791 1,4 %A A199791 _Clark Kimberling_, Nov 10 2011