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 A199623 #8 Feb 08 2025 22:26:49 %S A199623 9,9,2,2,9,1,7,9,4,9,1,6,1,1,7,6,9,8,1,8,4,1,1,9,3,3,8,5,0,1,7,5,7,4, %T A199623 7,5,0,7,7,1,2,0,7,8,2,7,0,7,3,9,8,0,6,9,9,6,6,6,7,7,4,0,5,7,3,7,6,2, %U A199623 8,7,1,8,8,3,1,4,8,6,5,8,8,9,7,1,7,7,3,3,2,1,4,1,0,1,5,9,5,0,5 %N A199623 Decimal expansion of x>0 satisfying 2*x^2+x*cos(x)=3*sin(x). %C A199623 See A199597 for a guide to related sequences. The Mathematica program includes a graph. %H A199623 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>. %e A199623 0.9922917949161176981841193385017574750... %t A199623 a = 2; b = 1; c = 3; %t A199623 f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x] %t A199623 Plot[{f[x], g[x]}, {x, -Pi, Pi}, {AxesOrigin -> {0, 0}}] %t A199623 r = x /. FindRoot[f[x] == g[x], {x, .99, 1}, WorkingPrecision -> 110] %t A199623 RealDigits[r] (* A199623 *) %Y A199623 Cf. A199597. %K A199623 nonn,cons %O A199623 0,1 %A A199623 _Clark Kimberling_, Nov 08 2011