Totals of recent short search, spectra and interesting square of 14th order.

Message boards : News : Totals of recent short search, spectra and interesting square of 14th order.
Message board moderation

To post messages, you must log in.

AuthorMessage
hoarfrost
Volunteer moderator
Project administrator
Project developer
Project tester
Volunteer developer
Volunteer tester
Project scientist
Help desk expert

Send message
Joined: 11 Aug 17
Posts: 648
Credit: 22,550,677
RAC: 13,567
Message 1814 - Posted: 16 Jul 2023, 21:00:58 UTC
Last modified: 16 Jul 2023, 21:02:18 UTC

Hi folks!

During the last week in parallel with other searches, a very short experiment was performed in the project. Diagonal Latin square (DLS) with biggest number of transversals (known for us) were passed throws special transformations during which new diagonal Latin squares were obtained and one of them took the lead by number of diagonal transversals - it has 490218 of them, which allowed us to raise value of a(14) member of OEIS A287648 sequence to this value. The found square is:

0 1 2 3 4 5 6 7 8 9 A B C D
1 2 3 4 5 6 0 D 7 8 9 A B C
2 3 4 5 6 0 1 C D 7 8 9 A B
8 7 D C B A 9 4 3 2 1 0 6 5
A 4 5 6 D 1 2 B C 0 7 8 9 3
9 8 7 D C B A 3 2 1 0 6 5 4
7 D C B 3 9 8 5 4 A 2 1 0 6
5 6 0 1 2 3 4 9 A B C D 7 8
C B A 9 8 7 D 0 6 5 4 3 2 1
6 0 1 2 A 4 5 8 9 3 B C D 7
B A 9 8 7 D C 1 0 6 5 4 3 2
4 5 6 0 1 2 3 A B C D 7 8 9
D C B A 9 8 7 6 5 4 3 2 1 0
3 9 8 7 0 C B 2 1 D 6 5 4 A

Also this short search allowed to enrich spectra of values of number of diagonal transversals for DLS of 14th order. More information you can read in this message. Thank you for project support, other searches performed immediately now!
ID: 1814 · Rating: 0 · rate: Rate + / Rate - Report as offensive     Reply Quote

Message boards : News : Totals of recent short search, spectra and interesting square of 14th order.

©2024 The searchers team, Karelian Research Center of the Russian Academy of Sciences