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 A199472 #10 Feb 08 2025 10:00:38 %S A199472 9,8,1,6,9,4,7,0,9,7,8,6,9,3,6,6,7,9,9,9,4,0,7,2,2,4,2,9,8,8,2,1,1,1, %T A199472 6,5,4,1,3,3,7,7,7,6,7,8,4,0,4,1,5,1,8,0,5,2,1,8,3,3,9,4,1,7,9,8,6,8, %U A199472 2,1,4,7,8,4,8,1,7,8,9,2,1,0,5,5,4,9,0,9,7,8,5,6,7,2,2,1,1,3,2 %N A199472 Decimal expansion of x>0 satisfying 2*x^2-x*sin(x)=2*cos(x). %C A199472 See A199429 for a guide to related sequences. The Mathematica program includes a graph. %H A199472 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>. %e A199472 0.981694709786936679994072242988211165413377767840... %t A199472 a = 2; b = -1; c = 2; %t A199472 f[x_] := a*x^2 + b*x*Sin[x]; g[x_] := c*Cos[x] %t A199472 Plot[{f[x], g[x]}, {x, -Pi, Pi}, {AxesOrigin -> {0, 0}}] %t A199472 r = x /. FindRoot[f[x] == g[x], {x, .98, .99}, WorkingPrecision -> 110] %t A199472 RealDigits[r] (* A199472 *) %Y A199472 Cf. A199429. %K A199472 nonn,cons %O A199472 0,1 %A A199472 _Clark Kimberling_, Nov 07 2011