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 A199719 #9 Feb 08 2025 22:26:59 %S A199719 1,8,3,7,1,8,8,7,3,0,0,1,5,1,4,3,9,2,4,2,5,7,5,6,9,4,4,1,6,2,2,0,0,8, %T A199719 2,3,2,5,5,8,4,2,3,7,5,1,1,5,2,9,8,6,0,1,3,5,4,9,2,3,6,1,7,3,4,8,3,1, %U A199719 2,5,7,1,2,9,0,7,2,5,7,0,9,7,2,6,5,2,8,7,3,8,1,9,8,4,7,6,7,8,4 %N A199719 Decimal expansion of x>0 satisfying x^2-x*cos(x)=4*sin(x). %C A199719 See A199597 for a guide to related sequences. The Mathematica program includes a graph. %H A199719 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>. %e A199719 1.837188730015143924257569441622008232558... %t A199719 a = 1; b = -1; c = 4; %t A199719 f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x] %t A199719 Plot[{f[x], g[x]}, {x, -Pi, Pi}, {AxesOrigin -> {0, 0}}] %t A199719 r = x /. FindRoot[f[x] == g[x], {x, 1.8, 1.9}, WorkingPrecision -> 110] %t A199719 RealDigits[r] (* A199719 *) %Y A199719 Cf. A199597. %K A199719 nonn,cons %O A199719 1,2 %A A199719 _Clark Kimberling_, Nov 09 2011