[seqfan] Re: (no subject) (lattice points)

Alois Heinz heinz at hs-heilbronn.de
Fri Apr 23 21:16:17 CEST 2010


This should be

    [x^n]  1/((1-x)*(1-x^p)*(1-x^q))

Alois

Emeric Deutsch schrieb:
> Dear Seqfans,
> Just an ignorance-betraying question.
> Given positive integers n and p, p<=n, the number of lattice
> points t, satisfying t >= 0 and pt <= n, is, obviously, 1 +
> floor(n/p). 
> Given positive integers n, p, q,  p,q <= n, do we have 
> a statement about the number of lattice points (t,s)
> satisfying t >= 0, s >= 0, and pt + qs <= n ? 
> Thanks for any input.
> Emeric
>   





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