A275483 Numerators of Conway's FIBONACCIGAME.

17, 133, 17, 23, 2233, 23, 31, 74, 31, 41, 129, 41, 13, 1, 1

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.

However, unlike PRIMEGAME, FIBONACCIGAME starts from 78 * 5^(n - 1) and stops at 2^Fibonacci(n).

References

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

Crossrefs

Cf. A275484 (denominators), A202138, A000301.