[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.
Best,
-David
________________________________
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.
Best,
Ali
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