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 A198578 #9 Apr 23 2025 12:47:15 %S A198578 2,4,1,3,5,4,7,7,4,2,1,1,6,9,0,9,7,6,6,0,1,4,3,0,9,2,8,4,2,1,1,6,2,3, %T A198578 7,3,0,0,2,6,0,3,6,5,3,7,8,7,8,5,0,7,7,7,0,3,8,2,8,3,1,1,0,5,7,6,4,0, %U A198578 2,8,1,5,4,2,1,7,3,2,7,1,3,9,4,3,6,4,0,2,3,3,4,1,9,6,9,5,0,5,2 %N A198578 Decimal expansion of x>0 satisfying 2*x^2-4x=3*sin(x). %C A198578 See A198414 for a guide to related sequences. The Mathematica program includes a graph. %H A198578 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>. %e A198578 2.41354774211690976601430928421162373002603... %t A198578 a = 2; b = -4; c = 3; %t A198578 f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x] %t A198578 Plot[{f[x], g[x]}, {x, -.2, 2.5}] %t A198578 r = x /. FindRoot[f[x] == g[x], {x, 2.4, 2.5}, WorkingPrecision -> 110] %t A198578 RealDigits[r] (* A198578 *) %Y A198578 Cf. A198414. %K A198578 nonn,cons %O A198578 1,1 %A A198578 _Clark Kimberling_, Oct 27 2011