[seqfan] Variation on an infinite Sudoku-type array
Kerry Mitchell
lkmitch at gmail.com
Sat Jul 2 21:36:58 CEST 2016
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
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