[seqfan] Re: potential linear relations among sequences in oeis
Charles Greathouse
charles.greathouse at case.edu
Mon Mar 8 18:27:53 CET 2010
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
>
>
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