A287651 Number of reduced pairs of orthogonal diagonal Latin squares of order n.

1, 0, 0, 2, 4, 0, 320, 1322496, 339930624

Offset

1,4

Comments

A pair of orthogonal diagonal Latin squares is reduced if their first rows are in natural order.

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, Discussion about properties of diagonal Latin squares at forum.boinc.ru, continuation (in Russian)

Eduard I. Vatutin, Stepan E. Kochemazov, Oleq S. Zaikin, Maxim O. Manzuk, Natalia N. Nikitina, Vitaly S. Titov, Central symmetry properties for diagonal Latin squares, Problems of Information Technology (2019) No. 2, 3-8.

E. I. Vatutin, S. E. Kochemazov, O. S. Zaikin, M. O. Manzuk, V. S. Titov, Combinatorial characteristics estimating for pairs of orthogonal diagonal Latin squares, Multicore processors, parallel programming, FPGA, signal processing systems (2017), pp. 104-111 (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) = A339926(n) / (n!)^2. - Eduard I. Vatutin, Dec 24 2020

Crossrefs

Cf. A266166, A339926.

Sequence in context: A317411 A309598 A305570 * A365951 A163259 A309785

Adjacent sequences: A287648 A287649 A287650 * A287652 A287653 A287654

Keyword

nonn,more

Author

Eduard I. Vatutin, May 29 2017

Extensions

a(8) added by Eduard I. Vatutin, Jan 02 2018

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

Status

approved