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 A199795 #8 Feb 08 2025 22:36:18 %S A199795 1,0,1,3,6,1,4,2,4,5,6,5,0,4,0,0,9,4,5,3,6,8,8,5,8,7,8,9,7,2,4,4,7,6, %T A199795 7,1,2,1,1,4,4,9,0,1,5,1,0,0,5,2,0,9,9,7,6,7,2,6,6,8,0,7,6,1,7,2,9,5, %U A199795 7,1,2,7,8,5,0,4,9,3,2,6,3,4,8,7,6,6,6,4,7,0,0,4,0,6,0,3,3,5,3 %N A199795 Decimal expansion of x>0 satisfying 3*x^2-x*cos(x)=3*sin(x). %C A199795 See A199597 for a guide to related sequences. The Mathematica program includes a graph. %H A199795 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>. %e A199795 1.013614245650400945368858789724476712114490... %t A199795 a = 3; b = -1; c = 3; %t A199795 f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x] %t A199795 Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}] %t A199795 r = x /. FindRoot[f[x] == g[x], {x, 1.01, 1.02}, WorkingPrecision -> 110] %t A199795 RealDigits[r] (* A199795 *) %Y A199795 Cf. A199597. %K A199795 nonn,cons %O A199795 1,4 %A A199795 _Clark Kimberling_, Nov 10 2011