S_{0,4}

[Max]

On 2/16/06, koh <zbi74583 at boat.zero.ad.jp> wrote:
>     [Definition of {k.l}-Aliquot sequence]
>     Let S(n)=Sigma(n)/l-k*n
>     a_{m}=S(a_{m-1})
>
>
>
>     I also tried to  find a {0,4}-Aliquot sequence which goes to infinity.
>     I input  a_1= 555500000011111, and  it became a number of 184 digits after 850 steps .
>    It seems to go to infinity.
>    But I am not sure.

After 10 steps I've got non-integer number. Please take a look:

? ss(n) = sigma(n)/4

? a=555500000011111; for(i=1,10,a=ss(a);print1(", ",a))
, 138875019381828, 95002193790000, 100966126897152, 89923161968640,
109622213986656, 88824291655680, 100121345533440, 121380998618880,
171368541388800, 395052880195809/2

Max