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 A198493 #9 Apr 23 2025 12:33:02 %S A198493 4,6,4,4,3,5,6,5,7,2,3,9,4,6,6,7,6,0,6,1,6,1,4,6,8,6,6,1,1,4,3,5,3,8, %T A198493 7,0,6,3,1,5,4,2,8,2,3,0,9,0,5,3,3,8,4,5,3,2,9,7,7,5,5,0,4,8,7,3,8,4, %U A198493 4,0,4,4,1,3,2,6,4,4,5,1,3,6,3,4,6,0,3,3,1,3,5,0,0,6,3,8,3,9,9 %N A198493 Decimal expansion of x>0 having 2x^2+x=2*sin(x). %C A198493 See A198414 for a guide to related sequences. The Mathematica program includes a graph. %H A198493 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>. %e A198493 0.4644356572394667606161468661143538706315... %t A198493 a = 2; b = 1; c = 2; %t A198493 f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x] %t A198493 Plot[{f[x], g[x]}, {x, -1, 1}] %t A198493 r = x /. FindRoot[f[x] == g[x], {x, .46, .47}, WorkingPrecision -> 110] %t A198493 RealDigits[r] (* A198493 *) %Y A198493 Cf. A198414. %K A198493 nonn,cons %O A198493 0,1 %A A198493 _Clark Kimberling_, Oct 25 2011