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 A198549 #8 Apr 23 2025 12:39:56 %S A198549 1,6,8,1,8,4,5,2,4,4,9,4,5,0,1,2,3,1,0,9,3,2,6,2,8,6,2,0,2,1,9,4,1,9, %T A198549 9,4,2,3,5,6,4,0,1,7,1,5,4,1,8,8,1,7,9,6,6,6,2,1,5,7,0,1,0,1,8,4,7,2, %U A198549 9,6,0,4,2,7,7,1,3,7,4,0,1,8,6,7,3,8,1,8,0,6,6,2,7,3,1,3,7,7,9 %N A198549 Decimal expansion of x>0 having 2*x^2-x=4*sin(x). %C A198549 See A198414 for a guide to related sequences. The Mathematica program includes a graph. %H A198549 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>. %e A198549 1.68184524494501231093262862021941994235640... %t A198549 a = 2; b = -1; c = 4; %t A198549 f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x] %t A198549 Plot[{f[x], g[x]}, {x, -.1, 2}] %t A198549 r = x /. FindRoot[f[x] == g[x], {x, 1.68, 1.69}, WorkingPrecision -> 110] %t A198549 RealDigits[r] (* A198549 *) %Y A198549 Cf. A198414. %K A198549 nonn,cons %O A198549 1,2 %A A198549 _Clark Kimberling_, Oct 26 2011