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A129123
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Number of 4-tuples of standard tableau with height less than or equal to 2.
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3
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1, 1, 2, 17, 98, 882, 7812, 78129, 815474, 8955650, 101869508, 1194964498, 14374530436, 176681194276, 2212121332488, 28145258688369, 363177582488274, 4745064935840178, 62687665026816228, 836447728509168930
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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REFERENCES
| F. Bergeron, L. Favreau and D. Krob, Conjectures on the enumeration of tableaux of bounded height, Discrete Math, vol. 139, no. 1-3 (1995), 463-468.
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FORMULA
| a(n)=Sum_{k, 0<=k<=n}A120730(n,k)^4. [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Oct 18 2008]
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PROG
| (PARI) a(n)=sum(k=0, n\2, (binomial(n, k)-binomial(n, k-1))^4)
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CROSSREFS
| Cf. A001405, A000108, A003161.
Sequence in context: A002645 A100268 A163790 * A109724 A127533 A023260
Adjacent sequences: A129120 A129121 A129122 * A129124 A129125 A129126
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KEYWORD
| nonn
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AUTHOR
| Mike Zabrocki (zabrocki(AT)mathstat.yorku.ca), Mar 29 2007
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