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Search: id:A005790
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| A005790 |
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4-dimensional Catalan numbers.
(Formerly M4954)
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+0
3
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| 1, 14, 462, 24024, 1662804, 140229804, 13672405890, 1489877926680, 177295473274920, 22661585038594320, 3073259571003214320, 438091463242348309440, 65166105157299311029200, 10056663345892631910888600
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Number of standard tableaux of shape (n,n,n,n). - Emeric Deutsch (deutsch(AT)duke.poly.edu), May 13 2004
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
Snover, Stephen L.; Troyer, Stephanie F.; A four-dimensional Catalan formula. Proceedings of the Nineteenth Manitoba Conference on Numerical Mathematics and Computing (Winnipeg, MB, 1989). Congr. Numer. 75 (1990), 123-126.
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FORMULA
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a(n) = 12(4n)!/n!(n+1)!(n+2)!(n+3)!. G.f.: 4_F_3 ( [ 1, 3/2, 5/4, 7/4 ]; [ 3, 4, 5 ]; 256 x ).
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CROSSREFS
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A row of A060854.
Sequence in context: A041364 A033815 A103916 this_sequence A128051 A024299 A159645
Adjacent sequences: A005787 A005788 A005789 this_sequence A005791 A005792 A005793
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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