Revision History for A119338
(Underlined text is an addition;
strikethrough text is a deletion.)
Showing all changes.
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#7 by Bruno Berselli at Mon Dec 05 02:41:52 EST 2016
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#6 by Jon E. Schoenfield at Sun Dec 04 20:58:23 EST 2016
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#5 by Jon E. Schoenfield at Sun Dec 04 20:58:11 EST 2016
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| NAME
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Table by anti-diagonalsantidiagonals: a(m,n) is the number of m-dimensional partitions of n up to conjugacy, for m >= 0, n >= 1.
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| EXAMPLE
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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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| STATUS
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approved
editing
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#4 by Russ Cox at Fri Mar 30 17:26:55 EDT 2012
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| AUTHOR
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_Max Alekseyev (maxale(AT)gmail.com), _, May 15 2006
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Discussion
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| Fri Mar 30
| 17:26
| OEIS Server: https://oeis.org/edit/global/140
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#3 by N. J. A. Sloane at Fri Feb 27 03:00:00 EST 2009
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| KEYWORD
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nonn,tabl,new
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| AUTHOR
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Max Alekseyev (maxalmaxale(AT)cs.ucsdgmail.educom), May 15 2006
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#2 by N. J. A. Sloane at Fri May 11 03:00:00 EDT 2007
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| EXAMPLE
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..
...
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| KEYWORD
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nonn,tabl,new
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#1 by N. J. A. Sloane at Fri May 19 03:00:00 EDT 2006
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| NAME
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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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| DATA
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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
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| OFFSET
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1,9
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| COMMENTS
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Partitions are considered as generalized Ferrers diagrams; any permutation of the axes produces a conjugate.
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| EXAMPLE
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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
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Rows: A000012, A046682, A000786, A119266, A119267, A119340, A119341, A119342 stabilize to A119268. Transposed table is A119269. Cf. A119339, A119270, A118364, A118365.
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| KEYWORD
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nonn,tabl,new
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| AUTHOR
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Max Alekseyev (maxal(AT)cs.ucsd.edu), May 15 2006
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| STATUS
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approved
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