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 A199790 #8 Feb 08 2025 22:31:13 %S A199790 1,2,3,6,9,0,7,1,4,9,1,2,2,4,4,1,6,1,2,8,5,9,3,2,5,7,6,3,7,3,4,5,1,5, %T A199790 2,8,6,1,1,7,5,0,1,9,6,9,5,2,9,0,2,4,3,9,7,1,0,9,9,5,1,1,3,8,5,4,8,7, %U A199790 5,6,0,3,7,1,5,4,5,5,2,2,1,8,6,1,5,3,7,4,4,0,4,4,9,6,2,2,9,6,4 %N A199790 Decimal expansion of x>0 satisfying 3*x^2-2*x*cos(x)=4*sin(x). %C A199790 See A199597 for a guide to related sequences. The Mathematica program includes a graph. %H A199790 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>. %e A199790 1.236907149122441612859325763734515286117501... %t A199790 a = 3; b = -2; c = 4; %t A199790 f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x] %t A199790 Plot[{f[x], g[x]}, {x, -1, 2}, {AxesOrigin -> {0, 0}}] %t A199790 r = x /. FindRoot[f[x] == g[x], {x, .90, .91}, WorkingPrecision -> 110] %t A199790 RealDigits[r] (* A199790 *) %Y A199790 Cf. A199597. %K A199790 nonn,cons %O A199790 1,2 %A A199790 _Clark Kimberling_, Nov 10 2011