[seqfan] Re: Number of hierarchical polynomial models on n factors

N. J. A. Sloane njas at research.att.com
Wed Feb 8 21:20:03 CET 2012

Paul, I think the question is the following:

We are counting polynomials in n variables x_1 thru x_n
The total degree is bounded by k (say)

We don't care what the coeffients are

All we care about is that if the
polynomial contains a monomial
then it also contains every monomial
for all 0 <= i_j <= e_j

It should not be hard to work out a formula
as a function of k and n


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