

A185242


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


5



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
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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 !! (n1)
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



