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Successive integers produced by Conway's PRIMEGAME, starting with 3 rather than 2.
5

%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&#39;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