A108395 - OEIS

%I #2 Mar 30 2012 18:39:49

%S 1,2,12,288,161280,1393920,61479419904000,592612475535360,

%T 6670903752021072936960

%N Number of pluperfect Latin squares of order n.

%C A Latin square is pluperfect if in each possible dissection of the Latin square into n translates of congruent rectangular blocks, no block contains duplicate symbols. For any prime number p, a(p) = A002860(p) and a(p^2) = A107739(p).

%Y Cf. A002860, A107739.

%K hard,nice,nonn

%O 1,2

%A _William Rex Marshall_, Jul 02 2005