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Increasing sequence generated by these rules: a(1)=1, and if x is in a then [3x/2]+1 and 3x+2 are in a, where [ ]=floor.
2

%I #7 May 17 2018 17:24:34

%S 1,2,4,5,7,8,11,13,14,17,20,22,23,26,31,34,35,40,41,44,47,52,53,61,62,

%T 67,68,71,79,80,92,94,95,101,103,104,107,119,121,122,125,134,139,142,

%U 143,152,155,157,158,161,179,182,184,185,188,202,203,206,209,214,215,229,233,236,238,239,242,269,274,277,278,283,284,287,304

%N Increasing sequence generated by these rules: a(1)=1, and if x is in a then [3x/2]+1 and 3x+2 are in a, where [ ]=floor.

%C See A191323.

%H Ivan Neretin, <a href="/A191324/b191324.txt">Table of n, a(n) for n = 1..10000</a>

%e 1 -> 2,5 -> 4,8,17 ->

%t h = 3; i = 1; j = 3; k = 2; f = 1; g = 12;

%t a = Union[Flatten[NestList[{Floor[h #/2] + i, j # + k} &, f, g]]] (* A191324 *)

%Y Cf. A191323.

%K nonn

%O 1,2

%A _Clark Kimberling_, May 30 2011