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 A199598 #8 Feb 08 2025 13:26:44 %S A199598 1,8,3,8,2,4,3,4,5,4,9,7,1,0,3,9,6,4,2,3,1,9,1,9,8,8,7,1,2,2,9,0,1,0, %T A199598 2,1,4,4,8,8,8,0,1,5,0,0,3,3,4,7,8,3,4,0,0,4,6,9,5,6,8,7,1,4,5,3,1,4, %U A199598 7,2,6,3,3,5,8,4,1,5,2,5,0,7,2,3,8,7,0,9,1,9,6,4,2,7,5,3,6,9,4 %N A199598 Decimal expansion of x>0 satisfying x^2+x*cos(x)=3*sin(x). %C A199598 See A199597 for a guide to related sequences. The Mathematica program includes a graph. %H A199598 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>. %e A199598 1.83824345497103964231919887122901021448880... %t A199598 a = 1; b = 1; c = 3; %t A199598 f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x] %t A199598 Plot[{f[x], g[x]}, {x, -Pi, Pi}, {AxesOrigin -> {0, 0}}] %t A199598 r = x /. FindRoot[f[x] == g[x], {x, 1.83, 1.84}, WorkingPrecision -> 110] %t A199598 RealDigits[r] (* A199598 *) %Y A199598 Cf. A199597. %K A199598 nonn,cons %O A199598 1,2 %A A199598 _Clark Kimberling_, Nov 08 2011