%I #21 Jun 23 2016 06:17:39
%S 3,165,145,385,455,85,78,66,58,154,182,34,2,15,825,725,1925,2275,425,
%T 390,330,290,770,910,170,156,132,116,308,364,68,4,30,225,12375,10875,
%U 28875,25375,67375,79625,14875,13650,2550
%N Successive integers produced by Conway's PRIMEGAME, starting with 3 rather than 2.
%C 2 is nevertheless reached fairly soon, and after that the sequence proceeds exactly the same as A007542.
%H Wikipedia, <a href="https://oeis.org/wiki/Conway's_PRIMEGAME">Conway's PRIMEGAME</a>
%F a(n+12) = A007542 (n) for n > 0. - _Charles R Greathouse IV_, Jan 24 2012
%F a(n+1) = A203907(a(n)), a(1) = 3. - _Reinhard Zumkeller_, Jan 25 2012
%e 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.
%t (* First run the program for A203907 to define conwayProc *) NestList[conwayProc, 3, 50]
%o (Haskell)
%o a185242 n = a185242_list !! (n-1)
%o a185242_list = iterate a203907 3
%o -- _Reinhard Zumkeller_, Jan 25 2012
%Y Cf. A007542, A203907, A273091.
%K nonn
%O 1,1
%A _Alonso del Arte_, Jan 24 2012