A275484 Denominators of Conway's FIBONACCIGAME.

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

Offset

1,1

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.

Links

Table of n, a(n) for n=1..15.

Crossrefs

Cf. A275483 (numerators), A203363, A000301.

Sequence in context: A302210 A094378 A033385 * A297941 A298552 A302458

Adjacent sequences: A275481 A275482 A275483 * A275485 A275486 A275487

Keyword

fini,nonn,frac

Author

Alonso del Arte, Jul 30 2016

Status

approved