[seqfan] A144406 and name changes.

[Antti Karttunen]

On Tue, Jul 22, 2014 at 12:06 AM,  <seqfan-request at list.seqfan.eu> wrote:


> Message: 6
> Date: Fri, 18 Jul 2014 00:39:42 -0500
> From: "L. Edson Jeffery" <lejeffery2 at gmail.com>
> To: seqfan at list.seqfan.eu
> Subject: [seqfan] A144406.
> Message-ID:
>         <CAGRLqMjML8J06HYJD-zVvG2aT97MMgTPdFwpi+z6YC1YzUvNfg at mail.gmail.com>
> Content-Type: text/plain; charset=UTF-8
>
> A144406 has definition:
>
> "Polynomial expansion as anti-diagonal of:
> p(x,n)=(x-1)/(x^n*(-x+(2*x-1)/x^n). Based on the Pisot general polynomial
> type q(x,n)=x^n-(x^n-1)/(x-1)."
>
> This sequence remains unedited, and I understand why. However, it is an
> important sequence, with its significance perhaps not known to the authors.
> I propose that at least the definition be changed to (something like):
>
> "Rectangular array read by upward antidiagonals in which entry T(n,k) in
> row n and column k gives the number of compositions of k in which no part
> exceeds n, n>=1, k>=0."
>
> I use this array frequently but have never found any use for the triangular
> version defined by the authors.
>
> The current definition could be moved to the formula section (actually I
> think it is essentially already there).
>
> Ed Jeffery
>
>

> Message: 8
> Date: Fri, 18 Jul 2014 11:20:37 -0400
> From: Charles Greathouse <charles.greathouse at case.edu>
> To: Sequence Fanatics Discussion list <seqfan at list.seqfan.eu>
> Subject: [seqfan] Re: A144406.
> Message-ID:
>         <CAAkfSG+CYb6O8zk68RiqjVpmfWkuH5R-Q-hT2ABOJta9yCx_0w at mail.gmail.com>
> Content-Type: text/plain; charset=UTF-8
>
> Please make the change! Rescuing important sequences which don't explain
> themselves (or their significance) is one of the most important tasks
> anyone can do for the OEIS.

Yes,

but I still think that in these kind of cases it would be a good
etiquette to not to delete the original description (name) but move it
to the comments-section, even if it is "cryptic" or highlighting only
an irrelevant (or sometimes even frivolous) "application". Unless of
course the name is utterly wrong, but this is not always equal to the
"unintelligible to most people".
.
Because they might shed some light what the original authors had in
their mind with that or any related sequences, e.g. which belong to
the same "parameterized family".

An example how I have done it:
http://oeis.org/A163575


E.g. with A144406, I would add to the comments-section:

Polynomial expansion as anti-diagonal of:
p(x,n)=(x-1)/(x^n*(-x+(2*x-1)/x^n). Based on the Pisot general
polynomial type q(x,n)=x^n-(x^n-1)/(x-1). [The original name of the
sequence].



>
> Charles Greathouse
> Analyst/Programmer
> Case Western Reserve University
>

Cordially,

Antti Karttunen