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A192522 Monotonic ordering of set S generated by these rules: if x and y are in S then floor((x-1)(y-1)/2) is in S, and 5 is in S.

%I A192522 #5 Mar 30 2012 18:57:34
%S A192522 5,8,14,24,26,45,46,50,80,84,87,88,90,98,149,154,157,158,162,166,171,
%T A192522 172,174,178,194,264,276,286,287,290,292,296,301,304,306,311,312,314,
%U A192522 318,322,330,339,340,342,346,354,386,506,513,517,518,526,535,539
%N A192522 Monotonic ordering of set S generated by these rules:  if x and y are in S then floor((x-1)(y-1)/2) is in S, and 5 is in S.
%t A192522 start = {5}; f[x_, y_] := Floor[(x - 1)*(y - 1)/2]
%t A192522 b[x_] :=
%t A192522   Block[{w = x},
%t A192522    Select[Union[
%t A192522      Flatten[AppendTo[w,
%t A192522        Table[f[w[[i]], w[[j]]], {i, 1, Length[w]}, {j, 1, i}]]]], # <
%t A192522       1500 &]];
%t A192522 t = NestList[b, start, 12][[-1]] (* A192522 *)
%t A192522 Table[t[[i]] - t[[i - 1]], {i, 2, Length[t]}]  (* differences *)
%Y A192522 Cf. A192476.
%K A192522 nonn
%O A192522 1,1
%A A192522 _Clark Kimberling_, Jul 03 2011