A063405 T(n,m) for positive n,m is the first integer we get when iterating f starting with f(n/m), where function f on rationals is defined as f(p/q)=abs(p-q)/NextOddCollatz(p)(we assume p,q coprime), where NextOddCollatz(p) is the next odd number that is found in the Collatz trajectory of p. When no integer is reached by iteration, T(n,m)=0.

0, 1, 0, 3, 4, 0, 3, 1, 1, 0, 4, 3, 2, 1, 0, 2, 3, 1, 4, 2, 0, 2, 6, 7, 3, 9, 10, 0, 7, 3, 5, 1, 3, 1, 1, 0, 1, 1, 3, 2, 3, 4, 5, 6, 0, 3, 4, 9, 3, 1, 2, 3, 1, 4, 0, 9, 1, 9, 4, 9, 12, 13, 5, 15, 16, 0, 9, 2, 3, 3, 7, 1, 2, 4, 1, 2, 2, 0, 7, 9, 2, 3, 3, 9, 2, 1, 1, 3, 3, 4, 0, 2, 2, 13, 6, 5, 7, 1, 3, 2, 9

Offset

1,4

Links

Table of n, a(n) for n=1..101.

Example

The triangle begins:
........0
......1...0
....3...4...0
..3...1...1...0
4...3...2...1...0

Crossrefs

T(n, 1) forms A062366.

Sequence in context: A189916 A025278 A200514 * A360533 A346524 A139401

Adjacent sequences: A063402 A063403 A063404 * A063406 A063407 A063408

Keyword

nonn,tabl

Author

Floor van Lamoen, Jul 16 2001

Status

approved