A192533 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 2 is in S.

2, 4, 12, 16, 112, 124, 144, 208, 228, 256, 11008, 11344, 12112, 12324, 12544, 13648, 14032, 14896, 15132, 15376, 17152, 18256, 18688, 19152, 20176, 20452, 20736, 32512, 32848, 34048, 38992, 39088, 39888, 40192, 40912, 42448, 42852, 43264

Offset: 1

Author

Clark Kimberling, Jul 04 2011

Keywords

• nonn

Comments

See A192476.

Crossrefs

Cf. A192476, A192534.

Programs

Mathematica

start = {2}; f[x_, y_] := x^2 + y^2 - 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}]]]], # <
      80000 &]];
t = FixedPoint[b, start] (* A192533 *)
t/2 (* A192534 *)