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A119269
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Table by anti-diagonals: number of m-dimensional partitions of n up to conjugacy, for n >= 1, m >= 0.
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9
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1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 3, 2, 1, 1, 1, 4, 4, 2, 1, 1, 1, 6, 6, 4, 2, 1, 1, 1, 8, 11, 7, 4, 2, 1, 1, 1, 12, 19, 13, 7, 4, 2, 1, 1, 1, 16, 33, 25, 14, 7, 4, 2, 1, 1, 1, 22, 55, 49, 27, 14, 7, 4, 2, 1, 1, 1, 29, 95, 93, 55, 28, 14, 7, 4, 2, 1, 1, 1, 40, 158, 181, 111, 57, 28, 14, 7, 4, 2, 1, 1
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 1,8
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COMMENTS
| Partitions are considered as generalized Ferrers diagrams; any permutation of the axes produces a conjugate.
Transposed table is A119338. - Max Alekseyev (maxale(AT)gmail.com), May 14 2006
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FORMULA
| a(n,m) = a(n,n-2) for m >= n-1.
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EXAMPLE
| Table starts:
1,1, 1, 1, 1
1,1, 1, 1, 1
1,2, 2, 2, 2
1,3, 4, 4, 4
1,4, 6, 7, 7
1,6,11,13,14
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CROSSREFS
| Columns A005987, A000786, A119266, A119267; diagonal A119268. Cf. A096751, A119270.
Cf. A119339, A119340, A119341, A119342.
Sequence in context: A108299 A123320 A054123 * A129713 A096669 A096591
Adjacent sequences: A119266 A119267 A119268 * A119270 A119271 A119272
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KEYWORD
| nonn,tabl
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AUTHOR
| Frank Adams-Watters (FrankTAW(AT)Netscape.net), May 11 2006
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EXTENSIONS
| More terms from Max Alekseyev (maxale(AT)gmail.com), May 14 2006
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