[seqfan] Re: A144406.

Charles Greathouse charles.greathouse at case.edu
Fri Jul 18 17:20:37 CEST 2014


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.

Charles Greathouse
Analyst/Programmer
Case Western Reserve University


On Fri, Jul 18, 2014 at 1:39 AM, L. Edson Jeffery <lejeffery2 at gmail.com>
wrote:

> 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
>
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