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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. 2

%I

%S 2,8,38,176,188,866,878,938,4040,4256,4316,4328,4388,4688,19850,19910,

%T 20186,20198,21206,21278,21566,21578,21638,21938,23438,92576,92912,

%U 97820,97880,98900,99176,99248,99260,99536,99548,100916,100928,100988

%N 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 start = {2}; f[x_, y_] := 3 x*y - x - 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 1000000 &]];

%t t = NestList[b, start, 12][[-1]] (* A192529 *)

%t t/2 (* A192530 *)

%t Table[t[[i]] - t[[i - 1]], {i, 2, Length[t]}] (* differences *)

%Y Cf. A192472.

%K nonn

%O 1,1

%A _Clark Kimberling_, Jul 03 2011

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Last modified October 4 21:22 EDT 2022. Contains 357240 sequences. (Running on oeis4.)