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Increasing sequence S generated by these rules: 1 is in S, and if x is in S then 3x and floor((x^2)/2) are in S.
2

%I #12 Nov 17 2016 10:38:08

%S 0,1,3,4,8,9,12,24,27,32,36,40,72,81,96,108,120,216,243,288,324,360,

%T 364,512,648,729,800,864,972,1080,1092,1536,1944,2187,2400,2592,2916,

%U 3240,3276,3280,4608,5832,6561,7200,7776,8748,9720,9828,9840,13824,17496,19683,21600,23328,26244,29160,29484,29520,29524

%N Increasing sequence S generated by these rules: 1 is in S, and if x is in S then 3x and floor((x^2)/2) are in S.

%C See A191203.

%H Ivan Neretin, <a href="/A191285/b191285.txt">Table of n, a(n) for n = 1..10000</a>

%e 1 -> 0,3 -> 4,8,9,27 ->

%t g=12; Union[Flatten[NestList[{3#,Floor[(#^2)/2]}&,1,g]]]

%t (* A191285; use g>11 to get all of first 60 terms *)

%Y Cf. A191203.

%K nonn

%O 1,3

%A _Clark Kimberling_, May 29 2011