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 A198582 #9 Apr 23 2025 12:48:33 %S A198582 1,9,6,1,7,2,7,9,5,1,6,4,6,5,3,9,8,4,1,6,0,9,6,2,7,4,0,1,6,7,6,7,5,3, %T A198582 1,7,0,0,7,7,8,3,6,6,8,4,9,9,8,3,0,8,2,9,5,0,5,7,0,5,7,6,7,3,8,9,1,0, %U A198582 2,8,9,7,3,8,3,4,9,5,9,4,4,0,0,0,1,3,6,6,9,6,3,9,2,1,8,5,1,9,0 %N A198582 Decimal expansion of x>0 satisfying 3*x^2-4x=4*sin(x). %C A198582 See A198414 for a guide to related sequences. The Mathematica program includes a graph. %H A198582 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>. %e A198582 1.9617279516465398416096274016767531700... %t A198582 a = 3; b = -4; c = 4; %t A198582 f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x] %t A198582 Plot[{f[x], g[x]}, {x, -.1, 2.3}] %t A198582 r = x /. FindRoot[f[x] == g[x], {x, 1.96, 1.97}, WorkingPrecision -> 110] %t A198582 RealDigits[r] (* A198582 *) %Y A198582 Cf. A198414. %K A198582 nonn,cons %O A198582 1,2 %A A198582 _Clark Kimberling_, Oct 27 2011