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A305571 Number of diagonal Latin squares with at least one orthogonal mate. 2
1, 0, 0, 48, 480, 0, 1290240, 25484820480 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

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) = A305570(n) * n!.

a(n) = A274806(n) - A305569(n).

CROSSREFS

Cf. A305569, A305570.

Sequence in context: A259851 A223419 A287762 * A229505 A168351 A198398

Adjacent sequences:  A305568 A305569 A305570 * A305572 A305573 A305574

KEYWORD

nonn,more,changed

AUTHOR

Eduard I. Vatutin, Jun 05 2018

STATUS

approved

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Last modified January 18 04:47 EST 2019. Contains 319269 sequences. (Running on oeis4.)