The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A119338

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A119338

Table by antidiagonals: a(m,n) is the number of m-dimensional partitions of n up to conjugacy, for m >= 0, n >= 1.
(history; published version)

#7 by Bruno Berselli at Mon Dec 05 02:41:52 EST 2016

STATUS

proposed

approved

#6 by Jon E. Schoenfield at Sun Dec 04 20:58:23 EST 2016

STATUS

editing

proposed

#5 by Jon E. Schoenfield at Sun Dec 04 20:58:11 EST 2016

NAME

Table by anti-diagonalsantidiagonals: a(m,n) is the number of m-dimensional partitions of n up to conjugacy, for m >= 0, n >= 1.

EXAMPLE

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, ...

...

STATUS

approved

editing

#4 by Russ Cox at Fri Mar 30 17:26:55 EDT 2012

AUTHOR

_Max Alekseyev (maxale(AT)gmail.com), _, May 15 2006

Discussion

Fri Mar 30

17:26

OEIS Server: https://oeis.org/edit/global/140

#3 by N. J. A. Sloane at Fri Feb 27 03:00:00 EST 2009

KEYWORD

nonn,tabl,new

AUTHOR

Max Alekseyev (maxalmaxale(AT)cs.ucsdgmail.educom), May 15 2006

#2 by N. J. A. Sloane at Fri May 11 03:00:00 EDT 2007

EXAMPLE

..

...

KEYWORD

nonn,tabl,new

#1 by N. J. A. Sloane at Fri May 19 03:00:00 EDT 2006

NAME

Table by anti-diagonals: a(m,n) is the number of m-dimensional partitions of n up to conjugacy, for m >= 0, n >= 1.

DATA

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

OFFSET

1,9

COMMENTS

Partitions are considered as generalized Ferrers diagrams; any permutation of the axes produces a conjugate.

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, ...

..

CROSSREFS

Rows: A000012, A046682, A000786, A119266, A119267, A119340, A119341, A119342 stabilize to A119268. Transposed table is A119269. Cf. A119339, A119270, A118364, A118365.

KEYWORD

nonn,tabl,new

AUTHOR

Max Alekseyev (maxal(AT)cs.ucsd.edu), May 15 2006

STATUS

approved