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

Fri May 1 20:25:56 CEST 2020

``` Hi David,
Thank you very much for your response and sorry for the confusion. The number itself moves as a king. Please see the steps below.

1-2-34-5-67-8-9
becomes
*-2-34-1-67-8-9
then
*- *-34-1-27-8-9
then
*-*-*
4-1-37-8-9
then
*-*-*
*-1-37-4-9
then
*-*-*
*-1-3*-7-9
then
*-*-*
*-1-3*-9-*
then
*-*-*
*-*-3*-1-*
then *-*-*
*-*-**-3-*
Best,
Ali

On Friday, May 1, 2020, 1:13:44 PM EDT, Nacin, David <nacind at wpunj.edu> wrote:

Meant to include a
7 takes out 4
in there as well before I couldn't proceed.
-DavidFrom: 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,
-DavidFrom: 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

--