[seqfan] Re: n-multisets of integers in (-n..n} adding to n
Charles Greathouse
charles.greathouse at case.edu
Thu Apr 12 15:10:00 CEST 2012
> I shall submit with mma program if of interest.
David: Absolutely, please submit!
Do you know the asymptotic behavior of the sequences? It looks like
it's a little faster than just exponential, but the first few terms
may be deceptive.
Charles Greathouse
Analyst/Programmer
Case Western Reserve University
On Thu, Apr 12, 2012 at 4:03 AM, David Scambler <dscambler at bmm.com> wrote:
> Seqfans,
>
> Count all n-multisets of integers in {-n, ..., n} such that the members sum to n.
>
> a(n) = 1, 2, 7, 27, 121, 587, 2983, 15744, 85375, 473259, 2670383, 15293119, 88686530, 519864702,...
>
> Exclude zero as a member
>
> a(n) = 1, 1, 5, 17, 78, 375, 1919, 10144, 55189, 306632, 1734019, 9948977, 57790152, 339241199,...
>
> I shall submit with mma program if of interest.
>
> dave
>
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