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A192528 Monotonic ordering of set S generated by these rules:  if x and y are in S then 5xy-x-y is in S, and 1 is in S. 2
1, 3, 11, 39, 43, 151, 155, 171, 543, 583, 599, 603, 619, 683, 2095, 2111, 2167, 2171, 2311, 2331, 2391, 2395, 2411, 2475, 2731, 7527, 7599, 8143, 8159, 8303, 8359, 8379, 8383, 8439, 8443, 8663, 8667, 8683, 9159, 9223, 9243, 9323, 9559, 9563 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

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

MATHEMATICA

start = {1}; f[x_, y_] := 5 x*y - 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}]]]], # <

      100000 &]];

t = NestList[b, start, 12][[-1]] (* A192528 *)

Table[t[[i]] - t[[i - 1]], {i, 2, Length[t]}] (* differences *)

CROSSREFS

Cf. A192476.

Sequence in context: A018961 A178624 A027528 * A112674 A064086 A089579

Adjacent sequences:  A192525 A192526 A192527 * A192529 A192530 A192531

KEYWORD

nonn

AUTHOR

Clark Kimberling, Jul 03 2011

STATUS

approved

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Last modified October 4 21:22 EDT 2022. Contains 357240 sequences. (Running on oeis4.)