A062366 Let f be a function on rationals p/q (p,q coprime) defined by f(p/q) = abs(p-q)/nextoddColl(p) (so the denominator is the next odd number in the Collatz trajectory of p). Start with f(n/1) and repeat application of f until it reaches again an integer, which is a(n). If no integer is reached, then a(n)=0.

0, 1, 3, 3, 4, 2, 2, 7, 1, 3, 9, 9, 7, 2, 5, 15, 3, 5, 15, 15, 20, 10, 3, 3, 2, 7, 21, 16, 3, 1, 11, 31, 7, 9, 27, 16, 3, 15, 2, 11, 3, 9, 33, 33, 25, 6, 17, 25, 9, 2, 39, 11, 3, 8, 9, 21, 2, 15, 45, 2, 19, 3, 23, 63, 15, 17, 51, 11, 3, 4, 5, 1, 5, 15, 57, 9, 3, 3, 29, 9, 15, 16, 63, 63, 84

Offset

1,3

Comments

Is a(n)<=n for all n?

Links

Table of n, a(n) for n=1..85.

Example

For n=15 we get 15/1 -> 14/23 -> 9/7 -> 2/7 -> 5/1 so a(15)=5.

Crossrefs

Sequence in context: A179561 A332518 A353662 * A278635 A294656 A057937

Adjacent sequences: A062363 A062364 A062365 * A062367 A062368 A062369

Keyword

nonn

Author

Floor van Lamoen, Jul 11 2001

Status

approved