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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

%I #3 Mar 02 2015 16:08:46

%S 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,

%T 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,

%U 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

%N 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.

%e The triangle begins:

%e ........0

%e ......1...0

%e ....3...4...0

%e ..3...1...1...0

%e 4...3...2...1...0

%Y T(n, 1) forms A062366.

%K nonn,tabl

%O 1,4

%A _Floor van Lamoen_, Jul 16 2001

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