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 A198573 #9 Apr 23 2025 12:46:35 %S A198573 9,6,3,1,0,4,6,2,0,6,8,8,1,9,1,7,8,6,3,7,3,7,3,9,5,4,9,1,8,5,5,0,0,1, %T A198573 8,1,6,3,6,1,5,9,2,0,3,6,0,3,6,9,9,9,8,6,5,6,5,0,2,3,9,9,2,5,0,1,7,0, %U A198573 4,7,7,3,0,4,6,6,3,6,7,0,3,1,1,4,4,6,5,1,5,7,1,7,3,2,3,9,8,0,4 %N A198573 Decimal expansion of x>0 satisfying 4*x^2-3x=sin(x). %C A198573 See A198414 for a guide to related sequences. The Mathematica program includes a graph. %H A198573 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>. %e A198573 0.963104620688191786373739549185500181636159203... %t A198573 a = 4; b = -3; c = 1; %t A198573 f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x] %t A198573 Plot[{f[x], g[x]}, {x, -.2, 1}] %t A198573 r = x /. FindRoot[f[x] == g[x], {x, .96, .97}, WorkingPrecision -> 110] %t A198573 RealDigits[r] (* A198573 *) %Y A198573 Cf. A198414. %K A198573 nonn,cons %O A198573 0,1 %A A198573 _Clark Kimberling_, Oct 27 2011