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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. 2

%I #5 Mar 30 2012 18:57:34

%S 5,8,14,24,26,45,46,50,80,84,87,88,90,98,149,154,157,158,162,166,171,

%T 172,174,178,194,264,276,286,287,290,292,296,301,304,306,311,312,314,

%U 318,322,330,339,340,342,346,354,386,506,513,517,518,526,535,539

%N 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 start = {5}; f[x_, y_] := Floor[(x - 1)*(y - 1)/2]

%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 1500 &]];

%t t = NestList[b, start, 12][[-1]] (* A192522 *)

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

%Y Cf. A192476.

%K nonn

%O 1,1

%A _Clark Kimberling_, Jul 03 2011

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Last modified April 19 19:02 EDT 2024. Contains 371798 sequences. (Running on oeis4.)