[seqfan] A144406.

[L. Edson Jeffery]

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