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A341278
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The smallest spiral number not covered by any square in the minimal-sum square spiral tiling by n X n squares in A341363.
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3
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67, 173, 25, 30, 42, 56, 72, 90, 110, 132, 156, 182, 209, 239, 271, 305, 341, 379, 419, 461, 505, 551, 599, 649, 701, 755, 810, 860, 928, 990, 1054, 1120, 1188, 1258, 1330, 1404, 1480, 1558, 1638, 1720, 1804, 1890, 1978, 2067, 2159, 2253, 2349, 2447, 2547, 2649, 2753, 2859, 2967, 3077, 3189
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OFFSET
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2,1
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COMMENTS
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The tilings with n=2 and n=3 are the only ones where the smallest uncovered square is not adjacent to the first centrally placed tile. The sequence starts at n=2 as a 1 X 1 square tiling leaves no squares uncovered.
See A341363 for other images with higher numbers of placed tiles.
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LINKS
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Scott R. Shannon, Image of the tiling for n=2. The smallest uncovered square is 67. In this and other images the colors are graduated around the spectrum to show the squares relative placement order.
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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