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 A199624 #8 Feb 08 2025 22:14:00 %S A199624 1,3,3,8,8,7,3,8,8,9,8,5,5,4,8,5,2,6,4,0,6,2,5,5,4,1,5,4,7,5,4,3,5,2, %T A199624 9,1,5,6,4,7,1,6,6,9,4,4,9,9,8,4,0,9,2,9,2,0,4,5,9,2,9,2,1,3,4,5,3,9, %U A199624 8,8,4,8,7,3,1,6,6,9,0,2,5,1,4,9,1,7,5,5,7,6,1,5,0,2,2,6,0,9,5 %N A199624 Decimal expansion of x>0 satisfying 2*x^2+x*cos(x)=4*sin(x). %C A199624 See A199597 for a guide to related sequences. The Mathematica program includes a graph. %H A199624 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>. %e A199624 1.33887388985548526406255415475435291... %t A199624 a = 2; b = 1; c = 4; %t A199624 f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x] %t A199624 Plot[{f[x], g[x]}, {x, -Pi, Pi}, {AxesOrigin -> {0, 0}}] %t A199624 r = x /. FindRoot[f[x] == g[x], {x, 1.3, 1.4}, WorkingPrecision -> 110] %t A199624 RealDigits[r] (* A199624 *) %Y A199624 Cf. A199597. %K A199624 nonn,cons %O A199624 1,2 %A A199624 _Clark Kimberling_, Nov 08 2011