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 A199503 #9 Feb 08 2025 10:00:43 %S A199503 1,0,9,7,7,0,6,0,7,3,0,6,5,1,9,0,4,2,9,4,0,1,6,2,8,9,5,8,2,9,1,9,3,9, %T A199503 0,1,3,0,0,5,9,7,8,9,1,0,4,8,2,8,7,5,8,9,8,9,3,4,7,3,6,4,0,5,3,3,8,2, %U A199503 8,7,7,4,1,6,6,9,5,4,6,7,6,5,2,6,0,1,1,2,4,7,4,7,6,1,7,3,2,6,5 %N A199503 Decimal expansion of x>0 satisfying 2*x^2-2*x*sin(x)=cos(x). %C A199503 See A199429 for a guide to related sequences. The Mathematica program includes a graph. %H A199503 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>. %e A199503 1.09770607306519042940162895829193901300597891048... %t A199503 a = 2; b = -2; c = 1; %t A199503 f[x_] := a*x^2 + b*x*Sin[x]; g[x_] := c*Cos[x] %t A199503 Plot[{f[x], g[x]}, {x, -Pi, Pi}, {AxesOrigin -> {0, 0}}] %t A199503 r = x /. FindRoot[f[x] == g[x], {x, 1.08, 1.09}, WorkingPrecision -> 110] %t A199503 RealDigits[r] (* A199503 *) %Y A199503 Cf. A199429. %K A199503 nonn,cons %O A199503 1,3 %A A199503 _Clark Kimberling_, Nov 07 2011