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A119338
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Table by anti-diagonals: a(m,n) is the number of m-dimensional partitions of n up to conjugacy, for m >= 0, n >= 1.
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9
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1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 3, 1, 1, 1, 2, 4, 4, 1, 1, 1, 2, 4, 6, 6, 1, 1, 1, 2, 4, 7, 11, 8, 1, 1, 1, 2, 4, 7, 13, 19, 12, 1, 1, 1, 2, 4, 7, 14, 25, 33, 16, 1, 1, 1, 2, 4, 7, 14, 27, 49, 55, 22, 1, 1, 1, 2, 4, 7, 14, 28, 55, 93, 95, 29, 1, 1, 1, 2, 4, 7, 14, 28, 57, 111, 181, 158, 40, 1
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 1,9
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COMMENTS
| Partitions are considered as generalized Ferrers diagrams; any permutation of the axes produces a conjugate.
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EXAMPLE
| Table starts:
1, 1, 1, 1, 1, 1, ...
1, 1, 2, 3, 4, 6, ...
1, 1, 2, 4, 6, 11, ...
1, 1, 2, 4, 7, 13, ...
1, 1, 2, 4, 7, 14, ...
...
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CROSSREFS
| Rows: A000012, A046682, A000786, A119266, A119267, A119340, A119341, A119342 stabilize to A119268. Transposed table is A119269. Cf. A119339, A119270, A118364, A118365.
Sequence in context: A175069 A122945 A205573 * A054124 A144406 A179748
Adjacent sequences: A119335 A119336 A119337 * A119339 A119340 A119341
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KEYWORD
| nonn,tabl
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AUTHOR
| Max Alekseyev (maxale(AT)gmail.com), May 15 2006
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