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Denominators of Conway's FIBONACCIGAME.
2

%I #26 Sep 20 2016 05:12:35

%S 65,34,19,17,69,29,23,341,37,31,287,43,41,13,3

%N Denominators of Conway's FIBONACCIGAME.

%C Like PRIMEGAME, the object of FIBONACCIGAME is to come up with a listing of the Fibonacci numbers through a process of multiplying integers by fractions to see which produce integers, which are then cycled back through the process.

%C Notice that there isn't a 1 in this sequence, which means that the progress of the program, starting from a valid input, eventually halts with 2^Fibonacci(n).

%D Julian Havil, Nonplussed! Mathematical Proof of Implausible Ideas. Princeton: Princeton University Press (2007): 174.

%Y Cf. A275483 (numerators), A203363, A000301.

%K fini,nonn,frac

%O 1,1

%A _Alonso del Arte_, Jul 30 2016