A185242 Successive integers produced by Conway's PRIMEGAME, starting with 3 rather than 2.

3, 165, 145, 385, 455, 85, 78, 66, 58, 154, 182, 34, 2, 15, 825, 725, 1925, 2275, 425, 390, 330, 290, 770, 910, 170, 156, 132, 116, 308, 364, 68, 4, 30, 225, 12375, 10875, 28875, 25375, 67375, 79625, 14875, 13650, 2550

Offset

1,1

Comments

2 is nevertheless reached fairly soon, and after that the sequence proceeds exactly the same as A007542.

Links

Table of n, a(n) for n=1..43.

Wikipedia, Conway's PRIMEGAME

Formula

a(n+12) = A007542 (n) for n > 0. - Charles R Greathouse IV, Jan 24 2012

a(n+1) = A203907(a(n)), a(1) = 3. - Reinhard Zumkeller, Jan 25 2012

Example

After 3, we have 3 * 55 = 165 because none of the other fractions give an integer. Then we can use 29/33, and thus 165 * 29/33 = 145, and so on and so forth.

Mathematica

(* First run the program for A203907 to define conwayProc *) NestList[conwayProc, 3, 50]

Prog

(Haskell)
a185242 n = a185242_list !! (n-1)
a185242_list = iterate a203907 3
-- Reinhard Zumkeller, Jan 25 2012

Crossrefs

Cf. A007542, A203907, A273091.

Sequence in context: A154737 A285488 A112896 * A012806 A020545 A228193

Adjacent sequences: A185239 A185240 A185241 * A185243 A185244 A185245

Keyword

nonn

Author

Alonso del Arte, Jan 24 2012

Status

approved