[seqfan] Re: Numbers that are divisible by the product of their digits

Giovanni Resta giovanni.resta at iit.cnr.it
Tue Jun 20 14:16:40 CEST 2017


On 06/06/2017 08:47 AM, Charles Greathouse wrote:
>  is the sequence of numbers that are divisible by the product of
> their digits. Does anyone know how this sequence grows?

This is just an empirical result but maybe it can inspire something more
interesting:

the numbers of terms of A007602 with k decimal digits, with k ranging 
from 1 to 14, is 9, 5, 20, 40, 117, 285, 747, 1951, 5229, 13493, 35009, 
91792, 239791, 628412.

Apart from the first terms, the geometric growth seems quite regular.

Giovanni




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