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A192539 Monotonic ordering of set S generated by these rules: if x and y are in S then 2xy+floor(xy/2) is in S, and 1 is in S. 2

%I #4 Mar 30 2012 18:57:35

%S 1,2,5,10,12,25,30,50,60,62,75,125,150,155,187,250,300,310,312,360,

%T 375,387,467,625,750,775,780,900,935,937,967,1167,1250,1500,1550,1560,

%U 1562,1800,1860,1875,1935,1937,1950,2250,2335,2337,2342,2417,2917

%N Monotonic ordering of set S generated by these rules: if x and y are in S then 2xy+floor(xy/2) is in S, and 1 is in S.

%t start = {1}; f[x_, y_] := 2 x*y + Floor[x*y/2]

%t b[x_] :=

%t Block[{w = x},

%t Select[Union[

%t Flatten[AppendTo[w,

%t Table[f[w[[i]], w[[j]]], {i, 1, Length[w]}, {j, 1, i}]]]], # <

%t 6000 &]];

%t t = FixedPoint[b, start] (* A192539 *)

%Y Cf. A192476.

%K nonn

%O 1,2

%A _Clark Kimberling_, Jul 04 2011

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Last modified April 24 16:49 EDT 2024. Contains 371962 sequences. (Running on oeis4.)