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 A293327 #8 Jan 08 2023 11:42:05 %S A293327 0,1,2,4,9,18,36,73,147,295,591,1182,2364,4729,9459,18918,37837,75674, %T A293327 151348,302697,605395,1210791,2421582,4843165,9686330,19372660, %U A293327 38745320,77490641,154981282,309962565,619925131,1239850262,2479700524,4959401049,9918802098 %N A293327 Greatest integer k such that k/2^n < sqrt(1/3). %H A293327 Clark Kimberling, <a href="/A293327/b293327.txt">Table of n, a(n) for n = 0..1000</a> %F A293327 a(n) = floor(r*2^n), where r = sqrt(1/3). %F A293327 a(n) = A293328(n) - 1. %t A293327 z = 120; r = Sqrt[1/3]; %t A293327 Table[Floor[r*2^n], {n, 0, z}]; (* A293327 *) %t A293327 Table[Ceiling[r*2^n], {n, 0, z}]; (* A293328 *) %t A293327 Table[Round[r*2^n], {n, 0, z}]; (* A293329 *) %Y A293327 Cf. A002194, A094386, A293328, A293329. %K A293327 nonn,easy %O A293327 0,3 %A A293327 _Clark Kimberling_, Oct 09 2017 %E A293327 Definition and formula corrected by _Clark Kimberling_, Dec 26 2022