A192536 Monotonic ordering of set S generated by these rules: if x and y are in S then x^2+y^2-floor(xy/2) is in S, and 1 is in S.

1, 2, 4, 6, 15, 16, 24, 34, 40, 54, 211, 214, 216, 219, 240, 244, 249, 338, 361, 384, 540, 544, 556, 565, 621, 640, 864, 1090, 1104, 1126, 1140, 1324, 1516, 1525, 1536, 1564, 1581, 1696, 1734, 2076, 2400, 2736, 2740, 2790, 2824, 2844, 2866, 2890, 3154

Offset: 1

Author

Clark Kimberling, Jul 04 2011

Keywords

• nonn

Comments

See A192476.

Crossrefs

Cf. A192476.

Programs

Mathematica

start = {1}; f[x_, y_] := x^2 + y^2 - Floor[x*y/2]
b[x_] :=
  Block[{w = x},
   Select[Union[
     Flatten[AppendTo[w,
       Table[f[w[[i]], w[[j]]], {i, 1, Length[w]}, {j, 1, i}]]]], # <
      20000 &]];
t = FixedPoint[b, start] (* A192536 *)