Number of transversals in pine Latin squares of order n, https://oeis.org/A383570 n=2, a(2)=0 Announcement: https://vk.com/wall162891802_2995, Eduard I. Vatutin, Apr 09 2025 Way of finding: by definition 0 1 1 0 n=4, a(4)=8 Announcement: https://vk.com/wall162891802_2995, Eduard I. Vatutin, Apr 09 2025 Way of finding: by definition 0 1 2 3 1 0 3 2 2 3 0 1 3 2 1 0 n=6, a(6)=0 Announcement: https://vk.com/wall162891802_2995, Eduard I. Vatutin, Apr 09 2025 Way of finding: by definition 0 1 2 3 4 5 1 2 0 5 3 4 2 0 1 4 5 3 3 4 5 0 1 2 4 5 3 2 0 1 5 3 4 1 2 0 n=8, a(8)=384 Announcement: https://vk.com/wall162891802_2995, Eduard I. Vatutin, Apr 09 2025 Way of finding: by definition 0 1 2 3 4 5 6 7 1 2 3 0 7 4 5 6 2 3 0 1 6 7 4 5 3 0 1 2 5 6 7 4 4 5 6 7 0 1 2 3 5 6 7 4 3 0 1 2 6 7 4 5 2 3 0 1 7 4 5 6 1 2 3 0 n=10, a(10)=0 Announcement: https://vk.com/wall162891802_2995, Eduard I. Vatutin, Apr 09 2025 Way of finding: by definition 0 1 2 3 4 5 6 7 8 9 1 2 3 4 0 9 5 6 7 8 2 3 4 0 1 8 9 5 6 7 3 4 0 1 2 7 8 9 5 6 4 0 1 2 3 6 7 8 9 5 5 6 7 8 9 0 1 2 3 4 6 7 8 9 5 4 0 1 2 3 7 8 9 5 6 3 4 0 1 2 8 9 5 6 7 2 3 4 0 1 9 5 6 7 8 1 2 3 4 0 n=12, a(12)=76032 Announcement: https://vk.com/wall162891802_2995, Eduard I. Vatutin, Apr 09 2025 Way of finding: by definition 0 1 2 3 4 5 6 7 8 9 10 11 1 2 3 4 5 0 11 6 7 8 9 10 2 3 4 5 0 1 10 11 6 7 8 9 3 4 5 0 1 2 9 10 11 6 7 8 4 5 0 1 2 3 8 9 10 11 6 7 5 0 1 2 3 4 7 8 9 10 11 6 6 7 8 9 10 11 0 1 2 3 4 5 7 8 9 10 11 6 5 0 1 2 3 4 8 9 10 11 6 7 4 5 0 1 2 3 9 10 11 6 7 8 3 4 5 0 1 2 10 11 6 7 8 9 2 3 4 5 0 1 11 6 7 8 9 10 1 2 3 4 5 0 n=14, a(14)=0 Announcement: https://vk.com/wall162891802_2995, Eduard I. Vatutin, Apr 09 2025 Way of finding: by definition 0 1 2 3 4 5 6 7 8 9 10 11 12 13 1 2 3 4 5 6 0 13 7 8 9 10 11 12 2 3 4 5 6 0 1 12 13 7 8 9 10 11 3 4 5 6 0 1 2 11 12 13 7 8 9 10 4 5 6 0 1 2 3 10 11 12 13 7 8 9 5 6 0 1 2 3 4 9 10 11 12 13 7 8 6 0 1 2 3 4 5 8 9 10 11 12 13 7 7 8 9 10 11 12 13 0 1 2 3 4 5 6 8 9 10 11 12 13 7 6 0 1 2 3 4 5 9 10 11 12 13 7 8 5 6 0 1 2 3 4 10 11 12 13 7 8 9 4 5 6 0 1 2 3 11 12 13 7 8 9 10 3 4 5 6 0 1 2 12 13 7 8 9 10 11 2 3 4 5 6 0 1 13 7 8 9 10 11 12 1 2 3 4 5 6 0 n=16, a(16)=62881792 Announcement: https://vk.com/wall162891802_2995, Eduard I. Vatutin, Apr 09 2025 Way of finding: by definition 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1 2 3 4 5 6 7 0 15 8 9 10 11 12 13 14 2 3 4 5 6 7 0 1 14 15 8 9 10 11 12 13 3 4 5 6 7 0 1 2 13 14 15 8 9 10 11 12 4 5 6 7 0 1 2 3 12 13 14 15 8 9 10 11 5 6 7 0 1 2 3 4 11 12 13 14 15 8 9 10 6 7 0 1 2 3 4 5 10 11 12 13 14 15 8 9 7 0 1 2 3 4 5 6 9 10 11 12 13 14 15 8 8 9 10 11 12 13 14 15 0 1 2 3 4 5 6 7 9 10 11 12 13 14 15 8 7 0 1 2 3 4 5 6 10 11 12 13 14 15 8 9 6 7 0 1 2 3 4 5 11 12 13 14 15 8 9 10 5 6 7 0 1 2 3 4 12 13 14 15 8 9 10 11 4 5 6 7 0 1 2 3 13 14 15 8 9 10 11 12 3 4 5 6 7 0 1 2 14 15 8 9 10 11 12 13 2 3 4 5 6 7 0 1 15 8 9 10 11 12 13 14 1 2 3 4 5 6 7 0 Apr 09 2025