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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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified June 13 11:39 EDT 2021. Contains 344992 sequences. (Running on oeis4.)