[seqfan] Re: Variation on an infinite Sudoku-type array

[Zak Seidov]

 And you may/wish to submit the SEQ
1, 2, 3, 4, 2,3,4,5,6,1,4,6,2,1,6,5,2,3,4,...
with your great bfile.
Zak


>Воскресенье,  3 июля 2016, 4:53 +03:00 от Kerry Mitchell <lkmitch at gmail.com>:
>
>Hi Zak,
>
>I'm sorry for not acknowledging your idea.  I had already started looking
>at the spiral when I saw your post, so we're both geniuses!  :-)  I'm glad
>you like the figures.
>
>Kerry
>
>On Sat, Jul 2, 2016 at 4:30 PM, Zak Seidov < seqfan at list.seqfan.eu > wrote:
>
>>
>> Dear Kerry,
>> This is exactly my "old spiral",
>> see my post to [seqfan] 30 june, 14:05 .
>> Apparently nobody noticed it in the "hectic" thread
>> "Sudoku-type array":(
>>
>> Zak
>> PS But you've calculated great figures!
>> While I just mentioned the "idea".
>> Congrats!
>>
>>
>> >Суббота,  2 июля 2016, 22:36 +03:00 от Kerry Mitchell < lkmitch at gmail.com
>> >:
>> >
>> >Hi all,
>> >
>> >This is a spinoff from the "A269526, an infinite Sudoku-type array"
>> thread.
>> >
>> >I was intrigued by the idea in the original thread and wanted to try some
>> >variations.  I didn't like the antidiagonals approach because of the break
>> >at the end of a line, jumping down to the next line.  So I tried with a
>> >square spiral (ala Ulam spiral), so that each newly populated cell is
>> >adjacent to the previous cell.  Here are the central 121 cells:
>> >
>> >09  16  02  04  07  14  11  12  01  05  08
>> >17  08  15  14  13  12  09  10  06  07  03
>> >01  02  04  11  10  03  08  07  09  13  15
>> >08  09  07  03  05  06  01  02  04  12  11
>> >11  12  08  01  02  04  03  06  05  10  14
>> >15  07  06  05  03  01  02  04  08  11  12
>> >14  10  03  02  04  05  06  01  07  09  13
>> >07  11  09  06  01  02  04  05  03  08  10
>> >04  13  05  07  08  09  10  11  12  06  01
>> >12  14  10  09  06  13  05  03  15  16  07
>> >10  15  01  12  16  08  14  13  11  18  17
>> >
>> >The sequence begins with "01" in the center.  Here's a list of those
>> >values, in order:
>> >
>> >1
>> >2
>> >3
>> >4
>> >2
>> >3
>> >4
>> >5
>> >6
>> >1
>> >4
>> >6
>> >2
>> >1
>> >6
>> >5
>> >3
>> >1
>> >5
>> >2
>> >6
>> >1
>> >2
>> >4
>> >5
>> >3
>> >7
>> >8
>> >5
>> >4
>> >9
>> >7
>> >8
>> >3
>> >10
>> >11
>> >4
>> >7
>> >8
>> >6
>> >3
>> >9
>> >5
>> >7
>> >8
>> >9
>> >10
>> >11
>> >12
>> >6
>> >8
>> >9
>> >11
>> >10
>> >12
>> >13
>> >7
>> >6
>> >10
>> >9
>> >12
>> >13
>> >14
>> >15
>> >8
>> >2
>> >9
>> >12
>> >7
>> >10
>> >11
>> >13
>> >14
>> >10
>> >9
>> >6
>> >13
>> >5
>> >3
>> >15
>> >16
>> >7
>> >1
>> >10
>> >13
>> >12
>> >14
>> >11
>> >15
>> >3
>> >8
>> >5
>> >1
>> >12
>> >11
>> >14
>> >7
>> >4
>> >2
>> >16
>> >9
>> >17
>> >1
>> >8
>> >11
>> >15
>> >14
>> >7
>> >4
>> >12
>> >10
>> >15
>> >1
>> >12
>> >16
>> >8
>> >14
>> >13
>> >11
>> >18
>> >17
>> >
>> >And here are a couple of images of the sequence.  In the first, the colors
>> >represent the values, from black (small) to white (large).  In the second,
>> >values <= 100 are black and those > 100 are white.
>> >
>> > http://www.kerrymitchellart.com/temp/spiral-low.jpg
>> > http://www.kerrymitchellart.com/temp/spiral-high.jpg
>> >
>> >Kerry
>> >
>> >--
>> >Seqfan Mailing list -  http://list.seqfan.eu/
>>
>>
>> --
>> Seqfan Mailing list -  http://list.seqfan.eu/
>>
>
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