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A192523
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Monotonic ordering of set S generated by these rules: if x and y are in S then 2xy-x-y is in S, and 2 is in S.
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3
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2, 4, 10, 24, 28, 66, 70, 82, 164, 180, 192, 196, 208, 244, 446, 458, 486, 490, 522, 538, 570, 574, 586, 622, 730, 1104, 1144, 1244, 1256, 1292, 1320, 1336, 1340, 1368, 1372, 1452, 1456, 1468, 1512, 1548, 1564, 1612, 1704, 1708, 1720, 1756, 1864
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OFFSET
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1,1
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LINKS
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MATHEMATICA
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start = {2}; f[x_, y_] := 2 x*y - x - y
b[x_] :=
Block[{w = x},
Select[Union[
Flatten[AppendTo[w,
Table[f[w[[i]], w[[j]]], {i, 1, Length[w]}, {j, 1, i}]]]], # <
5000 &]];
t = NestList[b, start, 10][[-1]] (* A192523 *)
Table[t[[i]] - t[[i - 1]], {i, 2, Length[t]}] (* differences *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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