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A330368
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Irregular triangle read by rows in which row n lists the ranks of the partitions of n in nonincreasing order.
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5
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0, 1, -1, 2, 0, -2, 3, 1, 0, -1, -3, 4, 2, 1, 0, -1, -2, -4, 5, 3, 2, 1, 1, 0, -1, -1, -2, -3, -5, 6, 4, 3, 2, 2, 1, 0, 0, 0, -1, -2, -2, -3, -4, -6, 7, 5, 4, 3, 3, 2, 2, 1, 1, 1, 0, 0, -1, -1, -1, -2, -2, -3, -3, -4, -5, -7, 8, 6, 5, 4, 4, 3, 3, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, -1, -1, -1, -2, -2, -2, -3, -3, -4, -4, -5, -6, -8
(list;
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refs;
listen;
history;
text;
internal format)
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OFFSET
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1,4
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COMMENTS
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The rank of a partition is the largest part minus the number of parts.
For more about this ordering, see A330370.
First differs from A105805 at a(49) = T(7,5).
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LINKS
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EXAMPLE
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Triangle begins:
0;
1, -1;
2, 0, -2;
3, 1, 0, -1, -3;
4, 2, 1, 0, -1, -2, -4;
5, 3, 2, 1, 1, 0, -1, -1, -2, -3, -5;
6, 4, 3, 2, 2, 1, 0, 0, 0, -1, -2, -2, -3, -4, -6;
...
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CROSSREFS
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KEYWORD
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sign,tabf
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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