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Search: id:A132339
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| A132339 |
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Array read by antidiagonals: see formula line for definition. |
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+0
6
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| 1, -1, -1, 0, 2, 0, 0, -2, -2, 0, 0, 2, 10, 2, 0, 0, -2, -28, -28, -2, 0, 0, 2, 60, 168, 60, 2, 0, 0, -2, -110, -660, -660, -110, -2, 0, 0, 2, 182, 2002, 4290, 2002, 182, 2, 0, 0, -2, -280, -5096, -20020, -20020, -5096, -280, -2, 0, 0, 2, 408, 11424, 74256, 136136, 74256
(list; table; graph; listen)
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OFFSET
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0,5
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REFERENCES
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G. Kreweras, Sur une classe de problemes de denombrement lies au treillis des partitions des entiers, Cahiers du Bureau Universitaire de Recherche Op\'{e}rationnelle, Institut de Statistique, Universit\'{e} de Paris, 6 (1965), circa p. 82.
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FORMULA
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A(n,k) = 2(-1)^(h+k) (h+k-1)! (2h+2k-3)! / ( h! k! (2h-1)! (2k-1)! ), h >= 0, k >= 0.
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EXAMPLE
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Array begins:
1 -1 0 0 0 0 0 0 ...
-1 2 -2 2 -2 2 -2 2 ...
0 -2 10 -28 60 -110 ...
0 2 -28 168 -660 2002 ...
...
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CROSSREFS
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Rows give A006331-A006334. Main diagonal is A132341.
Sequence in context: A033985 A122071 A099766 this_sequence A137676 A144734 A029361
Adjacent sequences: A132336 A132337 A132338 this_sequence A132340 A132341 A132342
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KEYWORD
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sign,tabl,easy
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Nov 08 2007
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EXTENSIONS
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More terms from Max Alekseyev (maxale(AT)gmail.com), Sep 12 2009
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