A275484 Denominators of Conway's FIBONACCIGAME.

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

Offset: 1

Author

Alonso del Arte, Jul 30 2016

Keywords

• fini
• nonn
• frac

Comments

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.

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).

References

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

Crossrefs

Cf. A275483 (numerators), A203363, A000301.