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A192518 Monotonic ordering of set S generated by these rules:  if x and y are in S then (x+1)(y+1) is in S, and 2 is in S. 2
2, 9, 30, 93, 100, 282, 303, 310, 849, 912, 933, 940, 961, 1010, 2550, 2739, 2802, 2823, 2830, 2886, 2914, 3033, 3040, 3110, 3131, 7653, 8220, 8409, 8472, 8493, 8500, 8661, 8745, 8773, 8836, 9102, 9123, 9130, 9333, 9340, 9396, 9410, 9424, 9494 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

See A192476.

LINKS

Table of n, a(n) for n=1..44.

MATHEMATICA

start = {2}; f[x_, y_] := (x + 1) (y + 1)

b[z_] :=

  Block[{w = z},

   Select[Union[

     Flatten[AppendTo[w,

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

      30000 &]];

t = NestList[b, start, 10][[-1]] (* A192518 *)

CROSSREFS

Cf. A192476.

Sequence in context: A261174 A273652 A056283 * A277241 A201164 A289901

Adjacent sequences:  A192515 A192516 A192517 * A192519 A192520 A192521

KEYWORD

nonn

AUTHOR

Clark Kimberling, Jul 03 2011

STATUS

approved

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Last modified November 17 05:59 EST 2018. Contains 317275 sequences. (Running on oeis4.)