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A192531 Monotonic ordering of set S generated by these rules:  if x and y are in S then 3xy-2x-2y is in S, and 2 is in S. 3
2, 4, 12, 32, 44, 112, 124, 172, 312, 384, 432, 444, 492, 684, 1064, 1112, 1232, 1244, 1472, 1532, 1712, 1724, 1772, 1964, 2732, 2944, 3112, 3784, 3832, 4072, 4192, 4252, 4312, 4432, 4444, 4912, 4924, 4972, 5632, 5824, 5884, 6124, 6832, 6844, 6892 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

See A192476.

LINKS

Table of n, a(n) for n=1..45.

MATHEMATICA

start = {2}; f[x_, y_] := 3 x*y - 2 x - 2 y

b[x_] :=

  Block[{w = x},

   Select[Union[

     Flatten[AppendTo[w,

       Table[f[w[[i]], w[[j]]], {i, 1, Length[w]}, {j, 1, i}]]]], # <

      30000 &]];

t = FixedPoint[b, start] (* A192531 *)

t/2   (* A192532 *)

CROSSREFS

Cf. A192476, A192532.

Sequence in context: A148191 A141312 A148192 * A323864 A242659 A109388

Adjacent sequences:  A192528 A192529 A192530 * A192532 A192533 A192534

KEYWORD

nonn

AUTHOR

Clark Kimberling, Jul 04 2011

STATUS

approved

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Last modified September 29 01:51 EDT 2022. Contains 357082 sequences. (Running on oeis4.)