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 A192535 Monotonic ordering of set S generated by these rules: if x and y are in S then x^2+y^2+xy is in S, and 1 is in S. 2

%I

%S 1,3,13,27,183,217,507,757,819,1249,2187,33673,34047,36037,39159,

%T 47307,47749,50079,53677,100467,120289,141267,257557,258579,263809,

%U 271467,383319,414157,573807,575329,583059,594217,671581,673227,681577

%N Monotonic ordering of set S generated by these rules: if x and y are in S then x^2+y^2+xy is in S, and 1 is in S.

%C See A192476.

%t start = {1}; f[x_, y_] := x^2 + y^2 + 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 2000000 &]];

%t t = FixedPoint[b, start] (* A192535 *)

%Y Cf. A192476.

%K nonn

%O 1,2

%A _Clark Kimberling_, Jul 04 2011

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Last modified February 2 19:34 EST 2023. Contains 360024 sequences. (Running on oeis4.)