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A305568 Number of bachelor diagonal Latin squares of order n with constant first row. 2
0, 0, 0, 0, 4, 128, 170944, 7446955776 (list; graph; refs; listen; history; text; internal format)
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. 72-74. (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

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Last modified October 23 14:29 EDT 2019. Contains 328345 sequences. (Running on oeis4.)