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 A198567 #9 Apr 23 2025 12:44:53 %S A198567 1,9,6,8,3,9,7,5,0,7,8,5,8,7,3,2,8,4,1,3,8,2,8,9,9,1,8,4,6,0,1,6,9,6, %T A198567 2,4,0,7,8,6,7,2,2,4,1,9,7,3,7,3,7,3,7,8,8,8,9,4,2,2,1,6,4,7,1,6,3,9, %U A198567 2,1,6,3,5,0,9,9,5,1,6,9,3,7,2,5,0,0,6,6,2,2,3,4,3,4,3,8,2,0,7 %N A198567 Decimal expansion of x>0 satisfying 2*x^2-3x=2*sin(x). %C A198567 See A198414 for a guide to related sequences. The Mathematica program includes a graph. %H A198567 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>. %e A198567 1.96839750785873284138289918460169624078672... %t A198567 a = 2; b = -3; c = 2; %t A198567 f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x] %t A198567 Plot[{f[x], g[x]}, {x, -.2, 2}] %t A198567 r = x /. FindRoot[f[x] == g[x], {x, 1.96, 1.97}, WorkingPrecision -> 110] %t A198567 RealDigits[r] (* A198567 *) %Y A198567 Cf. A198414. %K A198567 nonn,cons %O A198567 1,2 %A A198567 _Clark Kimberling_, Oct 27 2011