Maximum number of intercalates in an extended self-orthogonal diagonal Latin square of order n, https://oeis.org/A382952

n=1, a(1)=0
Announcement: https://vk.com/wall162891802_2937, Eduard I. Vatutin, Jan 31 2025
Way of finding: brute force
0

n=2, a(2)=0
-

n=3, a(3)=0
-

n=4, a(4)=12
Announcement: https://vk.com/wall162891802_2937, Eduard I. Vatutin, Jan 31 2025
Way of finding: brute force
0 1 2 3
3 2 1 0
1 0 3 2
2 3 0 1

n=5, a(5)=0
Announcement: https://vk.com/wall162891802_2937, Eduard I. Vatutin, Jan 31 2025
Way of finding: brute force
0 1 2 3 4 
2 3 4 0 1 
4 0 1 2 3 
1 2 3 4 0 
3 4 0 1 2 

n=6, a(6)=0
-

n=7, a(7)=18
Announcement: https://vk.com/wall162891802_2937, Eduard I. Vatutin, Jan 31 2025
Way of finding: brute force
0 1 2 3 4 5 6 
1 2 4 5 6 3 0 
6 4 5 2 0 1 3 
5 3 6 4 1 0 2 
4 6 1 0 3 2 5 
3 5 0 1 2 6 4 
2 0 3 6 5 4 1 

n=8, a(8)=112
Announcement: https://vk.com/wall162891802_2937, Eduard I. Vatutin, Jan 31 2025
Way of finding: brute force
0 1 2 3 4 5 6 7 
2 3 0 1 6 7 4 5 
4 5 6 7 0 1 2 3 
6 7 4 5 2 3 0 1 
3 2 1 0 7 6 5 4 
1 0 3 2 5 4 7 6 
7 6 5 4 3 2 1 0 
5 4 7 6 1 0 3 2 

n=9, a(9)=72
Announcement: https://vk.com/wall162891802_2937, Eduard I. Vatutin, Jan 31 2025
Way of finding: brute force
0 1 2 3 4 5 6 7 8 
1 2 4 6 7 8 3 0 5 
4 3 1 8 0 6 5 2 7 
6 7 8 5 2 4 0 1 3 
8 0 5 4 3 1 7 6 2 
3 4 6 1 8 7 2 5 0 
5 8 7 0 6 2 4 3 1 
7 6 3 2 5 0 1 8 4 
2 5 0 7 1 3 8 4 6 

n=10, a(10)=53
Announcement: https://vk.com/wall162891802_2937, Eduard I. Vatutin, Jan 31 2025
Way of finding: brute force
0 1 2 3 4 5 6 7 8 9 
1 2 3 4 6 9 0 8 7 5 
7 0 1 9 5 3 8 2 6 4 
9 6 4 7 2 8 5 3 1 0 
2 8 5 0 9 1 4 6 3 7 
8 5 9 2 0 6 7 1 4 3 
4 9 7 6 8 2 3 5 0 1 
5 3 8 1 7 0 9 4 2 6 
6 4 0 8 3 7 1 9 5 2 
3 7 6 5 1 4 2 0 9 8 

Jan 31 2025