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 A198574 #9 Apr 23 2025 12:46:36 %S A198574 1,1,4,7,3,0,4,8,9,8,1,3,5,2,4,9,4,2,9,1,7,5,0,4,3,0,1,1,7,0,6,4,1,7, %T A198574 4,1,6,3,7,4,4,6,2,8,7,2,2,1,2,2,0,6,6,2,5,4,7,2,0,8,4,3,5,6,9,5,2,4, %U A198574 9,8,4,8,2,5,6,4,3,6,6,9,2,0,1,1,0,4,4,8,7,2,6,6,1,4,0,3,2,4,8 %N A198574 Decimal expansion of x>0 satisfying 4*x^2-3x=2*sin(x). %C A198574 See A198414 for a guide to related sequences. The Mathematica program includes a graph. %H A198574 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>. %e A198574 1.1473048981352494291750430117064174163744... %t A198574 a = 4; b = -3; c = 2; %t A198574 f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x] %t A198574 Plot[{f[x], g[x]}, {x, -.2, 1.3}] %t A198574 r = x /. FindRoot[f[x] == g[x], {x, 1.14, 1.15}, WorkingPrecision -> 110] %t A198574 RealDigits[r] (* A198574 *) %Y A198574 Cf. A198414. %K A198574 nonn,cons %O A198574 1,3 %A A198574 _Clark Kimberling_, Oct 27 2011