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Collatz-2 (A063041) trajectory starting at 17.
3

%I #9 Apr 16 2023 23:03:24

%S 17,222,111,37,1148,574,287,41,1518,759,253,23,438,219,73,5184,2592,

%T 1296,648,324,162,81,27,9,3,7,36,18,9,3,7,36,18,9,3,7,36,18,9,3,7,36,

%U 18,9,3,7,36,18,9,3,7,36,18,9,3,7,36,18,9,3,7,36,18,9,3,7,36

%N Collatz-2 (A063041) trajectory starting at 17.

%C a(23) = a(28) = 9 and a(i) = a(j) <==> i = j for i, j < 28; same cycle values as A063042 but the conjecture that this is the only cycle for all starting values is not true: see A063044

%F a(0) = 17 and a(n) = A063041(a(n-1)) for n > 0

%t NestList[If[PrimeQ[#],#*Prime[PrimePi[#]-1]+1,#/Min@@First/@FactorInteger[#]]&,17,30] (* _Jayanta Basu_, May 27 2013 *)

%Y Cf. A063041, A063042, A063044.

%K easy,nonn

%O 0,1

%A _Reinhard Zumkeller_, Jul 07 2001

%E More terms from _Sean A. Irvine_, Apr 16 2023