

A214897


Conway's subprime Fibonacci sequence: cycle lengths.


1




OFFSET

1,2


COMMENTS

Similar to the Fibonacci recursion starting with a pair of positive integers, but each new nonprime term is divided by its least prime factor. The recursion enters a loop of length a(n) after a finite number of steps. Conjecture: the list of loops is complete (checked to [10^5, 10^5]), loops of length a(n) are unique and no infinite chains exist.


LINKS

Table of n, a(n) for n=1..7.
Richard K. Guy, Tanya Khovanova and Julian Salazar, Conway's subprime Fibonacci sequences, arXiv:1207.5099v1 [math.NT]


MATHEMATICA

see A214674


CROSSREFS

Cf. A000045, A020639, A175723, A214551, A014682, A214674, A214892A214898.
Sequence in context: A112787 A264719 A214792 * A037307 A225079 A214790
Adjacent sequences: A214894 A214895 A214896 * A214898 A214899 A214900


KEYWORD

nonn


AUTHOR

Wouter Meeussen, Jul 29 2012


STATUS

approved



