[seqfan] Re: potential linear relations among sequences in oeis
Georgi Guninski
guninski at guninski.com
Tue Mar 9 15:08:15 CET 2010
thank you.
the sage source (GPL license) is at:
http://stefan.guninski.com/nmbrz/linseek.sage
description of the algorithm is in the comment.
On Mon, Mar 08, 2010 at 12:27:53PM -0500, Charles Greathouse wrote:
> This follows from the fact that
> A000161 = P0 + P1 + P2
> A002635 = P0 + P1 + P2 + P3 + P4
> A025427 = P3
> A025428 = P4
>
> for Pk = the number of partitions of n into k nonzero squares.
>
> Charles Greathouse
> Analyst/Programmer
> Case Western Reserve University
>
> On Mon, Mar 8, 2010 at 11:35 AM, Georgi Guninski <guninski at guninski.com> wrote:
> > a program found about 70 potential linear relations among sequences in a subset of oeis.
> >
> > the data is at:
> > http://stefan.guninski.com/cgi/oeis-SMAT1.cgi?q=%25_
> > http://stefan.guninski.com/cgi/oeis-SMAT2.cgi?q=%25_
> >
> > this one caught my eye (if true):
> >
> > C0*A000161 + C1*A002635 + C2*A025427 + C3*A025428 = 0
> > [C0 == 1, C1 == -1, C2 == 1, C3 == 1]
> > A000161 Number of partitions of n into 2 squares.
> > A002635 Number of partitions of n into 4 squares.
> > A025427 Number of partitions of n into 3 nonzero squares.
> > A025428 Number of partitions of n into 4 nonzero squares.
> >
> > verified to 5592 terms (assuming the b-files are correct)
> >
> > if someone is interested in the program, i will release it.
> >
> > --
> > joro
> >
> >
> > _______________________________________________
> >
> > Seqfan Mailing list - http://list.seqfan.eu/
> >
>
>
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