OFFSET
1,2
COMMENTS
We apply every symbol permutation on the representatives of isotopic classes to generate Latin squares of order n and calculate the determinants. We then compute the greatest common divisor of the values obtained.
These results are based upon work supported by the National Science Foundation under the grants numbered DMS-1852378 and DMS-1560019.
LINKS
Peterson Lenard, Greatest Common Divisor of all determinants
Brendan McKay, Combinatorial Data
EXAMPLE
For n=4, the set of absolute values of the determinants is {0, 80, 160}, so the greatest common divisor of the determinants is 80. Therefore, a(4)=80.
PROG
(Sage) # See Peterson Lenard link
CROSSREFS
KEYWORD
nonn,hard,more
AUTHOR
EXTENSIONS
a(8), a(9) from Hugo Pfoertner, Sep 02 2019
STATUS
approved