A289812 n for which a Factor Pair Latin Square of order n exists.

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, 32

Offset

1,2

Comments

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

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

Links

Table of n, a(n) for n=1..27.

James Hammer, Factor Pair Latin Squares, Dissertation, Auburn University, 2015.

Crossrefs

Cf. A000961, A100484, A206551.

Sequence in context: A342526 A325361 A325397 * A362622 A206551 A338190

Adjacent sequences: A289809 A289810 A289811 * A289813 A289814 A289815

Keyword

nonn,hard,more

Author

Jordan Lenchitz, Leah S. Miller, Makkah Davis, Bob Kuo, Boyang Su, James Hammer, Jul 12 2017

Status

approved