A275483 Numerators of Conway's FIBONACCIGAME.

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

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.

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.

Links

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

Crossrefs

Cf. A275484 (denominators), A202138, A000301.

Sequence in context: A355052 A259418 A253416 * A125354 A126512 A297018

Adjacent sequences: A275480 A275481 A275482 * A275484 A275485 A275486

Keyword

fini,nonn,frac

Author

Alonso del Arte, Jul 30 2016

Status

approved