A289812 - OEIS

%I #15 Aug 03 2017 04:29:53

%S 1,2,3,4,5,6,7,8,9,10,11,13,14,15,16,17,18,19,21,22,23,25,26,27,29,31,

%T 32

%N n for which a Factor Pair Latin Square of order n exists.

%C This sequences differs from A206551 because no Factor Pair Latin Square of order 45 exists.

%C It is known that every prime power (A000961) as well as twice every prime number (A100484) appears in this sequence.

%H James Hammer, <a href="https://etd.auburn.edu/handle/10415/4555">Factor Pair Latin Squares</a>, Dissertation, Auburn University, 2015.

%Y Cf. A000961, A100484, A206551.

%K nonn,hard,more

%O 1,2

%A _Jordan Lenchitz_, _Leah S. Miller_, _Makkah Davis_, _Bob Kuo_, _Boyang Su_, _James Hammer_, Jul 12 2017