Identical-digit blocks in decimal representation of partition numbers

[Jonathan Post]

My 17-year-old son agrees more with njas than with me, on this.  The last
seq I had derived from the partition function,
 A120477 <http://www.research.att.com/%7Enjas/sequences/A120477>
 Apply partial sum operator 5 times to partition numbers. was dubbed "less"
-- so I'll not submit the seq that created the stink.  That's part of what
seqfans is for, I suppose, to market test a new product before submitting to
OEIS.  My son thought the seq in question to be, if not repugnant, at least
stupid -- precisely because it was a "base" sequence, as opposed to, say,
A065728 <http://www.research.att.com/%7Enjas/sequences/A065728>
 *Partition* numbers
(A000041<http://www.research.att.com/%7Enjas/sequences/A000041>)
that are *semiprimes*
(A001358<http://www.research.att.com/%7Enjas/sequences/A001358>
).
I more fundamentally agree with njas that "mathematics can be beautiful."
Thanks for sharing your feelings frankly, including the more judiciously
neutral Joseph Biberstine. He recently gave us the rather pretty:
 A119028 <http://www.research.att.com/%7Enjas/sequences/A119028>
 Numbers that have 3 different *partitions* into 3 parts with the same
product.

On 8/9/06, Joseph Biberstine <jrbibers at indiana.edu> wrote:
>
>         While I don't personally find "base" or "word" sequences
> interesting
> (at all), even I wouldn't call them repugnant.  My opinion is that even
> this has some small merit.  Hopefully I'm not answering a rhetorical
> question.
>
> -JRB
>
> N. J. A. Sloane wrote:
> > JVP said:
> >
> >> This is a dumb base thing to do, but...
> >>
> >> scanning njas' b-list for partition number
> >> http://www.research.att.com/~njas/sequences/b000009.txt
> >> I notice these smallest k such that P(k), base 10, has n consecutive
> >> identical digits:
> >>
> >> n=1: P(0) = 1
> >> n=2: P(14) = 22
> >> n=3: P(28) = 222
> >> n=4: P(331) = 519999315040
> >> n=5: P(1518) = 3816666699150439747483571506
> >> n=6: ???
> >
> >
> > Me:  Am I the only seqfan who finds this kind of investigation
> > extremely repugnant?
> >
> > Good mathematics can be beautiful: this is not.
> >
> > NJAS
>
>
-------------- next part --------------
An HTML attachment was scrubbed...
URL: <http://list.seqfan.eu/pipermail/seqfan/attachments/20060809/fc366f45/attachment-0003.htm>