

A305569


Number of bachelor diagonal Latin squares of order n.


3




OFFSET

1,5


COMMENTS

A bachelor diagonal Latin square is one with no orthogonal mate.


LINKS

Table of n, a(n) for n=1..9.
E. I. Vatutin, Discussion about properties of diagonal Latin squares at forum.boinc.ru (in Russian)
E. I. Vatutin, S. E. Kochemazov, O. S. Zaikin, I. I. Citerra, Estimation of the probability of finding orthogonal diagonal Latin squares among general diagonal Latin squares, Recognition  2018. Kursk: SWSU, 2018. pp. 7274. (in Russian)
Eduard I. Vatutin, Natalia N. Nikitina, Maxim O. Manzuk, First results of an experiment on studying the properties of DLS of order 9 in the volunteer distributed computing projects Gerasim@Home and RakeSearch (in Russian).
Eduard I. Vatutin, Natalia N. Nikitina, Maxim O. Manzuk, Additional calculated results of an experiment on studying the properties of DLS of order 9 in the volunteer distributed computing projects Gerasim@Home and RakeSearch (in Russian).
Index entries for sequences related to Latin squares and rectangles


FORMULA

a(n) = A305568(n) * n!.
a(n) = A274806(n)  A305571(n).


CROSSREFS

Cf. A266177, A305568, A305571.
Sequence in context: A107511 A288471 A008410 * A289638 A289744 A287933
Adjacent sequences: A305566 A305567 A305568 * A305570 A305571 A305572


KEYWORD

nonn,more


AUTHOR

Eduard I. Vatutin, Jun 05 2018


EXTENSIONS

a(9) added by Eduard I. Vatutin, Dec 22 2020


STATUS

approved



