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 A199794 #9 Feb 08 2025 22:36:15 %S A199794 1,1,7,5,3,0,5,6,3,4,8,9,1,9,4,3,1,0,3,8,5,3,1,1,5,2,1,6,2,8,7,2,0,2, %T A199794 9,4,9,7,2,0,4,5,9,1,7,8,4,5,1,0,4,9,8,0,8,4,0,3,5,5,9,9,1,2,2,7,8,0, %U A199794 4,5,5,5,5,3,6,2,8,7,2,8,5,0,0,8,3,9,3,8,4,5,8,6,2,6,8,1,4,0,0 %N A199794 Decimal expansion of x>0 satisfying 3*x^2-x*cos(x)=4*sin(x). %C A199794 See A199597 for a guide to related sequences. The Mathematica program includes a graph. %H A199794 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>. %e A199794 1.175305634891943103853115216287202949720... %t A199794 a = 3; b = -1; c = 4; %t A199794 f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x] %t A199794 Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}] %t A199794 r = x /. FindRoot[f[x] == g[x], {x, 1.17, 1.18}, WorkingPrecision -> 110] %t A199794 RealDigits[r] (* A199794 *) %Y A199794 Cf. A199597. %K A199794 nonn,cons %O A199794 1,3 %A A199794 _Clark Kimberling_, Nov 10 2011