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Search: id:A005791
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| A005791 |
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5-dimensional Catalan numbers.
(Formerly M5281)
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+0
3
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| 1, 42, 6006, 1662804, 701149020, 396499770810, 278607172289160, 231471904322784840, 219738059326729823880, 232553551737813227594400, 269396678720275351794712800, 336839101096824285057473785200
(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,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) = 0!*1!*..*(k-1)! *(k*n)! / ( n!*(n+1)!*..*(n+k-1)! ) for k=5
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CROSSREFS
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A row of A060854.
Sequence in context: A102967 A091545 A101630 this_sequence A167668 A153471 A006699
Adjacent sequences: A005788 A005789 A005790 this_sequence A005792 A005793 A005794
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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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