7 May
2013
7 May
'13
12:18 p.m.
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@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?