A273091 -id:A273091 - cp's OEIS frontend

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

Alonso del Arte, Jan 24 2012

nonn

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

			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.

Wikipedia, Conway's PRIMEGAME

Cf. A007542, A203907, A273091.

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

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

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

A273099 Successive integers produced by Conway's PRIMEGAME, starting with 12 rather than 2.

Original entry on oeis.org

12, 90, 675, 37125, 32625, 86625, 76125, 202125, 177625, 471625, 557375, 104125, 95550, 17850, 16380, 3060, 2808, 2376, 2088, 5544, 4872, 12936, 11368, 30184, 35672, 6664, 392, 2940, 22050, 165375, 23625, 3375, 185625, 163125, 433125, 380625, 1010625, 888125, 2358125, 2786875

Offset: 1

Alonso del Arte, May 15 2016

After 240 steps, this sequence reaches 32 = 2^5.

			Multiply 12 by 15/2 to obtain 90. Then for 90, we can multiply 90 by 15/2 also to obtain 675.

Alonso del Arte, Table of n, a(n) for n = 1..250

Cf. A185242, A273091.

(* First run the program for A203907 to define conwayProc *) NestList[conwayProc, 12, 50]

cp's OEIS Frontend

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

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