[seqfan] Re: Elimination game in a square of integers

Nacin, David NACIND at wpunj.edu
Fri May 1 19:12:28 CEST 2020

Are we having the king jump over removed squares?  Otherwise I can only follow your directions up to

1 takes out 5
2 takes out 6
3 takes out 2
4 takes out 8

and then we have a 1,3,7 and 9 which aren't adjacent to each other.


From: SeqFan <seqfan-bounces at list.seqfan.eu> on behalf of Ali Sada via SeqFan <seqfan at list.seqfan.eu>
Sent: Friday, May 1, 2020 12:22 PM
To: Sequence Fanatics Discussion List <seqfan at list.seqfan.eu>
Cc: Ali Sada <pemd70 at yahoo.com>
Subject: [seqfan] Elimination game in a square of integers

Hi Everyone,
We take the numbers from 1 to n^2 and put them in a square. Starting with 1, and moving as a chess king, each number in its tern takes out the largest number it can get.
a(n) is the largest remaining number.

For example, in a 3 by 3 square we have the following moves:
1 takes out 5
2 takes out 6
3 takes out 2
4 takes out 8
7 takes out 4
9 takes out 7
1 takes out 9
and 3 takes out 1.
a(3) = 3

I usually make mistakes when I calculate the terms, so I would really appreciate it if you could help me with this. I would love to know if there is a pattern here. Also, I want to check if this is a suitable sequence for the OEIS.



Seqfan Mailing list - https://nam11.safelinks.protection.outlook.com/?url=http%3A%2F%2Flist.seqfan.eu%2F&data=01%7C01%7C%7C8a6f05f8b5d5455c39db08d7edefd2ca%7C74540637643546cc87a46d38efb78538%7C0&sdata=50%2BO5HTxE2OyhToEwAqXOHFQWNzksFFk7ZKFC%2Bd5U%2F8%3D&reserved=0

More information about the SeqFan mailing list