A289849 Cardinality of the maximal set of ordered factor pairs such that a Quasi-Factor Pair Latin Square of order n exists.

1, 2, 2, 3, 2, 4, 2, 4, 3, 4, 2, 5, 2, 4, 4, 5, 2, 6, 2, 5, 4, 4, 2, 6, 3, 4, 4, 5, 2

Offset

1,2

Comments

For n a prime power or twice a prime, a(n) is known to coincide with A000005(n).

Links

Table of n, a(n) for n=1..29.

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

Crossrefs

Cf. A000005.

Sequence in context: A351394 A327527 A337454 * A299701 A286605 A035149

Adjacent sequences: A289846 A289847 A289848 * A289850 A289851 A289852

Keyword

nonn,hard,more

Author

Leah S. Miller, Jordan Lenchitz, Makkah Davis, Bob Kuo, Boyang Su, James Hammer, Jul 13 2017

Status

approved