[seqfan] Re: A knight on a multiplication table

[Ali Sada]

 Yes Dr.  Israel. I meant perfect powers. Thank you for the correction.
Best,
Ali

    On Wednesday, November 27, 2019, 2:41:15 PM EST, <israel at math.ubc.ca> wrote:  
 
 By "perfect numbers" do you mean "perfect powers" (A001597 rather than
A000396)?

Cheers,
Robert

On Nov 27 2019, Ali Sada via SeqFan wrote:

>
>Hi Everyone,
>
> A chess knight moves on an extended multiplication table. The knight's 
> goal is to land on perfect numbers consecutively. It starts at 1, then 
> tries to reach 4,8,9,16,etc. It can land on the same square multiple 
> times.
>
> The are two prioritized conditions here: 1) The knight must use the least 
> number of moves between two consecutive perfect numbers. 2) The sum of 
> numbers in the squares the knight lands on in each move should be the 
> least.
>
>This is the sequence generated from the process:
>
> 1, 6, 15, 4, 12, 8, 12, 4, 9, 10, 16, 18, 25, 28, 27, 14, 32, 18, 16, 36, 
> 21, 30, 49, 54, 64, 70, 81, 88, 100, 108, 121, 108, 91, 90, 85, 76, 63, 
> 92, 125, 78, 56, 90, 128, 102, 144, 102, 64, 90, 112, 130, 144, 154, 160, 
> 162, 160, 154, 169, 180, 196, 208, 216, 208, 225, 238, 247, 252, 253, 
> 250, 243, 196, 145, 210, 256, 270, 280, 286, 288, 286, 280, 270, 289, 
> 304, 324 Best, Ali
>
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