[seqfan] Re: Why should A003001 be finite?

[Heinz, Alois]

Am 10.10.2015 um 17:22 schrieb Felix Fröhlich:
> Hi Seqfans,
>
> in A003001 there is comment saying the sequence is probably finite. What
> property of n points towards that assumption? It seems to me the opposite
> is more likely to be true. In fact, isn't it possible for any composite c
> to construct a number k such that the digital product of k is c?

Try it with c=77.
There is no k such that the digital product of k is c
because there is no digit "11" in the decimal system.

A003001 is finite because you cannot avoid digit 0
long enough to get a larger persistence.

Best regards,

Alois