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A192529 Monotonic ordering of set S generated by these rules: if x and y are in S then 3xy-x-y is in S, and 2 is in S.

%I A192529 #4 Mar 30 2012 18:57:34
%S A192529 2,8,38,176,188,866,878,938,4040,4256,4316,4328,4388,4688,19850,19910,
%T A192529 20186,20198,21206,21278,21566,21578,21638,21938,23438,92576,92912,
%U A192529 97820,97880,98900,99176,99248,99260,99536,99548,100916,100928,100988
%N A192529 Monotonic ordering of set S generated by these rules:  if x and y are in S then 3xy-x-y is in S, and 2 is in S.
%t A192529 start = {2}; f[x_, y_] := 3 x*y - x - y
%t A192529 b[x_] :=
%t A192529   Block[{w = x},
%t A192529    Select[Union[
%t A192529      Flatten[AppendTo[w,
%t A192529        Table[f[w[[i]], w[[j]]], {i, 1, Length[w]}, {j, 1, i}]]]], # <
%t A192529       1000000 &]];
%t A192529 t = NestList[b, start, 12][[-1]] (* A192529 *)
%t A192529 t/2 (* A192530 *)
%t A192529 Table[t[[i]] - t[[i - 1]], {i, 2, Length[t]}] (* differences *)
%Y A192529 Cf. A192472.
%K A192529 nonn
%O A192529 1,1
%A A192529 _Clark Kimberling_, Jul 03 2011