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Increasing sequence generated by these rules: a(1)=1, and if x is in a then [5x/3] and [7x/3] are in a, where [ ]=floor.
2

%I #7 May 17 2018 17:28:56

%S 1,2,3,4,5,6,7,8,9,10,11,13,14,15,16,18,21,23,25,26,30,32,35,37,38,41,

%T 42,43,49,50,53,58,60,61,63,68,70,71,74,81,83,86,88,95,96,98,100,101,

%U 105,113,114,116,118,123,135,138,140,142,143,146,147,158,160,163,165,166,168,172,175,188,189,190,193,196,200,205,221,224,225

%N Increasing sequence generated by these rules: a(1)=1, and if x is in a then [5x/3] and [7x/3] are in a, where [ ]=floor.

%C See A191323.

%H Ivan Neretin, <a href="/A191328/b191328.txt">Table of n, a(n) for n = 1..10000</a>

%e 1 ->2 -> 3,4 -> 5,7,9 ->

%t h = 5; i = 0; j = 7; k = 0; f = 1; g = 15;

%t Union[Flatten[NestList[{Floor[h #/3] + i, Floor[j #/3] + k} &, f, g]]]

%t (* A191328 *)

%Y Cf. A191323.

%K nonn

%O 1,2

%A _Clark Kimberling_, May 30 2011

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