[seqfan] Re: [math-fun] EXACT matrix factorizations

W. Edwin Clark wclark at mail.usf.edu
Tue May 7 20:17:36 CEST 2013


Brute force gives the following for a(n) = number of squares in M(n,2) =
ring of nxn matrices over GF(2),
beginning with n = 1:
                    2,10,260,31096
which is not in the OEIS.  Perhaps some interested soul can extend this.

On Tue, May 7, 2013 at 1:08 PM, Neil Sloane <njasloane at gmail.com> wrote:

> That's related to several questions that have interested me for decades.
> Here's a simple version: choose your favorite matrix ring R,
> e.g. real matrices with entries that are 0 or 1.
> What is a(n) := number of nxn matrices in R that have a square root in R?
>



More information about the SeqFan mailing list