[seqfan] Power Product Expansions
gould at math.wvu.edu
Mon Nov 10 01:28:49 CET 2008
Zak, are your familiar with the paper "Power Product Expansions", by H.
Gingold, H. W. Gould and M. E. Mays, which appeared in Utilitas
If not, then your result below sheds some light om what we called Power
Product Expansions (PPE for short). We studied the general expansion
prod((1+f(i)x^i), i=1,2,...) = sum(1+g(k)x^k, k=1,2,...)
and summarized the literature. Gingold has used the PPE idea for various
purposes since 1988. I think you should look at our paper.
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zak seidov wrote:
prod((1+a(i)x^i), i=1,2,...) => sum(1+prime(n)x^k, k=1,2,...)
gives a(i) = 2, 3, -1, 9, -4, -16, 89,...
not in OEIS?! or i'm terribly missing smth, zak
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