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A305570 Number of diagonal Latin squares of order n with constant first row with at least one orthogonal mate. 2
1, 0, 0, 2, 4, 0, 256, 632064 (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) = A305571(n) / n!.

a(n) = A274171(n) - A305568(n).

CROSSREFS

Cf. A305568, A305571.

Sequence in context: A009512 A317411 A309598 * A287651 A163259 A309785

Adjacent sequences:  A305567 A305568 A305569 * A305571 A305572 A305573

KEYWORD

nonn,more

AUTHOR

Eduard I. Vatutin, Jun 05 2018

STATUS

approved

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Last modified October 23 14:54 EDT 2019. Contains 328345 sequences. (Running on oeis4.)