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A063257 Let f be a function on rationals p/q (p,q coprime) defined by f(p/q) = abs(p-q)/g(p), where g(p) is the next odd number (starting with p) that we get after iteration of h(n) = n/2 when n is even, 5n+1 when n is odd. Start with f(n/1) and iterate f until it reaches again an integer, which is a(n). If no integer is reached, then a(n)=0. 2

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

%S 0,1,2,3,9,11,1,7,15,19,2,1,7,9,11,15,27,35,6,3,7,1,5,19,13,17,19,2,

%T 21,17,2,31,51,67,19,17,13,11,1,17,45,6,11,5,79,5,5,15,25,33,50,38,8,

%U 2,9,7,5,12,45,5,1,85,40,63,99,131,15,69,7,17,13,13,3,5,7,21,67,1,1,17,9

%N Let f be a function on rationals p/q (p,q coprime) defined by f(p/q) = abs(p-q)/g(p), where g(p) is the next odd number (starting with p) that we get after iteration of h(n) = n/2 when n is even, 5n+1 when n is odd. Start with f(n/1) and iterate f until it reaches again an integer, which is a(n). If no integer is reached, then a(n)=0.

%e We get 6/1 -> 5/3 -> 2/13 -> 11/1 so a(6)=11.

%Y Cf. A062366, A063256, A063268.

%K nonn

%O 1,3

%A _Floor van Lamoen_, Jul 12 2001

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