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 A199725 #8 Feb 08 2025 22:24:39 %S A199725 1,4,9,2,4,6,3,2,3,9,8,0,6,3,7,8,6,7,2,0,7,0,4,0,6,5,8,9,5,2,8,0,4,3, %T A199725 7,9,9,0,6,1,7,7,3,6,3,5,7,2,8,3,4,3,9,2,8,5,2,5,8,7,8,2,8,0,2,6,8,9, %U A199725 2,1,3,0,5,6,7,0,6,7,6,5,8,6,7,6,6,6,9,3,5,0,8,0,7,5,7,2,7,5,1 %N A199725 Decimal expansion of x>0 satisfying x^2-2*x*cos(x)=2*sin(x). %C A199725 See A199597 for a guide to related sequences. The Mathematica program includes a graph. %H A199725 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>. %e A199725 1.4924632398063786720704065895280437990... %t A199725 a = 1; b = -2; c = 2; %t A199725 f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x] %t A199725 Plot[{f[x], g[x]}, {x, -2 Pi, Pi}, {AxesOrigin -> {0, 0}}] %t A199725 r = x /. FindRoot[f[x] == g[x], {x, 1.49, 1.50}, WorkingPrecision -> 110] %t A199725 RealDigits[r] (* A199725 *) %Y A199725 Cf. A199597. %K A199725 nonn,cons %O A199725 1,2 %A A199725 _Clark Kimberling_, Nov 09 2011