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 A198581 #14 Apr 23 2025 12:48:32 %S A198581 1,8,5,2,0,5,7,1,8,2,2,3,6,2,6,4,6,5,3,6,0,7,1,9,5,4,0,2,2,6,4,9,4,1, %T A198581 4,1,5,6,9,4,5,8,0,0,1,2,4,2,6,3,5,2,6,5,8,1,3,0,1,4,7,9,7,9,1,3,6,7, %U A198581 4,4,9,9,1,4,7,8,8,2,0,6,7,8,6,9,1,3,5,3,6,8,5,9,5,2,7,4,9,1,5 %N A198581 Decimal expansion of x > 0 satisfying 3*x^2-4*x = 3*sin(x). %C A198581 See A198414 for a guide to related sequences. The Mathematica program includes a graph. %H A198581 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>. %e A198581 1.852057182236264653607195402264941415694580012... %t A198581 a = 3; b = -4; c = 3; %t A198581 f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x] %t A198581 Plot[{f[x], g[x]}, {x, -.1, 2}] %t A198581 r = x /. FindRoot[f[x] == g[x], {x, 1.8, 1.9}, WorkingPrecision -> 110] %t A198581 RealDigits[r] (* A198581 *) %Y A198581 Cf. A198414. %K A198581 nonn,cons %O A198581 1,2 %A A198581 _Clark Kimberling_, Oct 27 2011 %E A198581 Offset corrected by _Georg Fischer_, Aug 01 2021