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A192531 Monotonic ordering of set S generated by these rules: if x and y are in S then 3xy-2x-2y is in S, and 2 is in S. 3

%I #4 Mar 30 2012 18:57:34

%S 2,4,12,32,44,112,124,172,312,384,432,444,492,684,1064,1112,1232,1244,

%T 1472,1532,1712,1724,1772,1964,2732,2944,3112,3784,3832,4072,4192,

%U 4252,4312,4432,4444,4912,4924,4972,5632,5824,5884,6124,6832,6844,6892

%N Monotonic ordering of set S generated by these rules: if x and y are in S then 3xy-2x-2y is in S, and 2 is in S.

%C See A192476.

%t start = {2}; f[x_, y_] := 3 x*y - 2 x - 2 y

%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 30000 &]];

%t t = FixedPoint[b, start] (* A192531 *)

%t t/2 (* A192532 *)

%Y Cf. A192476, A192532.

%K nonn

%O 1,1

%A _Clark Kimberling_, Jul 04 2011

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Last modified April 18 11:12 EDT 2024. Contains 371779 sequences. (Running on oeis4.)