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Search: id:A119269
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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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10
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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
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OFFSET
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1,8
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COMMENT
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Partitions are considered as generalized Ferrers diagrams; any permutation of the axes produces a conjugate.
Transposed table is A119338. - Max Alekseyev (maxal(AT)cs.ucsd.edu), May 14 2006
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FORMULA
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a(n,m) = a(n,n-2) for m >= n-1.
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EXAMPLE
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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
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Columns A005987, A000786, A119266, A119267; diagonal A119268. Cf. A096751, A119270.
Cf. A119339, A119340, A119341, A119342.
Adjacent sequences: A119266 A119267 A119268 this_sequence A119270 A119271 A119272
Sequence in context: A065941 A123320 A054123 this_sequence A129713 A096669 A096591
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KEYWORD
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nonn,tabl
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AUTHOR
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Frank Adams-Watters (FrankTAW(AT)Netscape.net), May 11 2006
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EXTENSIONS
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More terms from Max Alekseyev (maxal(AT)cs.ucsd.edu), May 14 2006
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