A376587 Minimum number of diagonal transversals in the diagonal Latin squares of order 2n+1 defined in A372922.

1, 0, 5, 27, 241, 4523, 127339

Offset

0,3

Links

Table of n, a(n) for n=0..6.

Eduard I. Vatutin, About the propreties of diagonalized cyclic diagonal Latin squares of order 13 (in Russian).

Eduard 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)

Eduard I. Vatutin, About the different types of cyclic diagonal Latin squares (in Russian).

Eduard Vatutin, Alexey Belyshev, Natalia Nikitina, Maxim Manzuk, Alexander Albertian, Ilya Kurochkin, Alexander Kripachev, and Alexey Pykhtin, Diagonalization and Canonization of Latin Squares, Lecture Notes in Computer Science, Vol. 14389, Springer, Cham., 2023. pp. 48-61.

Eduard I. Vatutin, Proving list (best known examples).

Index entries for sequences related to Latin squares and rectangles.

Crossrefs

Cf. A287647, A342998, A366332, A372922, A372923, A375475, A391212.

Sequence in context: A126119 A105631 A167019 * A356538 A342904 A230563

Adjacent sequences: A376584 A376585 A376586 * A376588 A376589 A376590

Keyword

nonn,more,hard

Author

Eduard I. Vatutin, Sep 29 2024

Extensions

Name clarified by Eduard I. Vatutin, Dec 03 2025

Status

approved