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 A191288 #9 Nov 17 2016 12:14:00
%S A191288 0,1,2,4,5,8,10,16,20,21,32,33,40,42,64,66,80,84,85,128,132,133,147,
%T A191288 160,168,170,256,264,266,294,320,336,340,341,363,512,528,532,533,588,
%U A191288 640,672,680,682,726,1024,1056,1064,1066,1176,1280,1344,1360,1364,1365,1452,2048,2112,2128,2132,2133,2352,2408,2560,2688,2720
%N A191288 Increasing sequence generated by these rules: 1 is in a, and if x is in a then 2x and floor((x^2)/3) are in a.
%C A191288 See A191203.
%H A191288 Ivan Neretin, <a href="/A191288/b191288.txt">Table of n, a(n) for n = 1..10000</a>
%e A191288 1 -> {0,2} -> 4 -> {5,8} -> {10,16,21} -> ...
%t A191288 g=13; Union[Flatten[NestList[{2#, Floor[(#^2)/3]}&,1,g]]]
%t A191288 (* A191288; use g>12 to get all of first 60 terms *)
%Y A191288 Cf. A191203.
%K A191288 nonn
%O A191288 1,3
%A A191288 _Clark Kimberling_, May 29 2011
%E A191288 Definition corrected by Han Guoniu, Oct 11 2012