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A217029
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Array T(i,j) read by antidiagonals, where T(i,j) is the height of i/j, that is max(|m|,|n|) with m/n = i/j and gcd(m, n) = 1.
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1
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1, 2, 2, 3, 1, 3, 4, 3, 3, 4, 5, 2, 1, 2, 5, 6, 5, 4, 4, 5, 6, 7, 3, 5, 1, 5, 3, 7, 8, 7, 2, 5, 5, 2, 7, 8, 9, 4, 7, 3, 1, 3, 7, 4, 9, 10, 9, 8, 7, 6, 6, 7, 8, 9, 10, 11, 5, 3, 2, 7, 1, 7, 2, 3, 5, 11, 12, 11, 10, 9, 8, 7, 7, 8, 9, 10, 11, 12, 13, 6, 11, 5, 9
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,2
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LINKS
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EXAMPLE
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1, 2, 3, 4, 5, 6, ...
2, 1, 3, 2, 5, 3, ...
3, 3, 1, 4, 5, 2, ...
...
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MATHEMATICA
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t[i_, j_] := Max[ Abs[ Numerator[r = i/j]], Denominator[r]]; Table[ t[i-j+1, j], {i, 1, 14}, {j, 1, i}] // Flatten
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PROG
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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