A305570 Number of diagonal Latin squares of order n with the first row in order and at least one orthogonal diagonal mate.
1, 0, 0, 2, 4, 0, 256, 632064, 95024976
Offset: 1
Links
- E. I. Vatutin, Discussion about properties of diagonal Latin squares at forum.boinc.ru (in Russian)
- E. I. Vatutin, Special types of diagonal Latin squares, Cloud and distributed computing systems in electronic control conference, within the National supercomputing forum (NSCF - 2022). Pereslavl-Zalessky, 2023. pp. 9-18. (in Russian)
- E. Vatutin and A. Belyshev, Enumerating the Orthogonal Diagonal Latin Squares of Small Order for Different Types of Orthogonality, Communications in Computer and Information Science, Vol. 1331, Springer, 2020, pp. 586-597.
- E. I. Vatutin, S. E. Kochemazov, O. S. Zaikin, and 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)
- Eduard I. Vatutin, Natalia N. Nikitina, and 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, and 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).
- Eduard I. Vatutin, List of all main classes of orthogonal diagonal Latin squares of orders 1-8.
- Index entries for sequences related to Latin squares and rectangles.
Extensions
Name clarified by Andrew Howroyd, Oct 19 2020
a(9) added by Eduard I. Vatutin, Dec 22 2020