

A305568


Number of bachelor diagonal Latin squares of order n with constant first row.


2




OFFSET

1,5


COMMENTS

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


LINKS

Table of n, a(n) for n=1..8.
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)
Index entries for sequences related to Latin squares and rectangles


FORMULA

a(n) = A305569(n) / n!.
a(n) = A274171(n)  A305570(n).


CROSSREFS

Cf. A274171, A266177, A305569, A305570.
Sequence in context: A141367 A141368 A146555 * A057134 A041495 A188315
Adjacent sequences: A305565 A305566 A305567 * A305569 A305570 A305571


KEYWORD

nonn,more


AUTHOR

Eduard I. Vatutin, Jun 05 2018


STATUS

approved



