[seqfan] Re: A051264 == A050278 ?

franktaw at netscape.net franktaw at netscape.net
Mon Jan 9 21:49:32 CET 2012

Can anyone access the book "More Mathematical Morsels" by R. 
Honsberger, referenced in the MathWorld article? It presumably has a 
definition of n-persistent, and as the published version, we should 
match it. (The reference in the article just took me to Amazon.com.) 
This may also bear on the claim David is questioning in the MathWorld 

Note that the claim that there are no infinity-persistent numbers is 
strongly validated by A079339.

Franklin T. Adams-Watters

-----Original Message-----
From: David Wilson <davidwwilson at comcast.net>

I think your "exactly" interpretation is the correct one, otherwise
A051264 would coincide numerically with either A050278 or A171102 in 
OEIS, which it does not starting at its first term. I would not expect
such a mistake from the author.

Given the "exactly" interpretation, the MathWorld claim that there
exists a k-persistent number exists for each k becomes interesting and
begs both a proof and an OEIS sequence of the smallest k-persistent
number for each k.

On 1/9/2012 3:22 AM, franktaw at netscape.net wrote:
> From the definitions, A051264 should be the same as A171102, not 
> However, it appears that n-persistent is being used in a slightly
> different way from what the MathWorld article defines. It seems that
> it is being used to mean that the number is n-persistent as defined
> but not (n+1)-persistent - one could perhaps call this exactly
> n-persistent. Based on that, A051264 is different from the other two
> sequences.
> Certainly the definitions need to be clarified. The other sequences
> referenced in the MathWorld article also appear to be defined in this
> manner.
> Franklin T. Adams-Watters
> -----Original Message-----
> From: Moshe Levin <moshe.levin at mail.ru>
> Shouldn't  A051264 (1 - persistent numbers)
> coincide with A050278 (Pandigital numbers)?
>    My friend wrote to the author (of both seqs), in vail,
> and asked me.
> I think that A051264 == A050278 by definition.
> Thanks,
> ML
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