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

Nacin, David NACIND at wpunj.edu
Fri May 1 19:13:39 CEST 2020

```Meant to include a

7 takes out 4

in there as well before I couldn't proceed.

-David
________________________________
From: Nacin, David <NACIND at wpunj.edu>
Sent: Friday, May 1, 2020 1:12 PM
To: Sequence Fanatics Discussion List <seqfan at list.seqfan.eu>
Cc: Ali Sada <pemd70 at yahoo.com>
Subject: Re: [seqfan] Elimination game in a square of integers

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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