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Search: id:A129123
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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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+0
4
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| 1, 1, 2, 17, 98, 882, 7812, 78129, 815474, 8955650, 101869508, 1194964498, 14374530436, 176681194276, 2212121332488, 28145258688369, 363177582488274, 4745064935840178, 62687665026816228, 836447728509168930
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OFFSET
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0,3
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REFERENCES
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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
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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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PROGRAM
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(PARI) a(n)=sum(k=0, n\2, (binomial(n, k)-binomial(n, k-1))^4)
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CROSSREFS
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Cf. A001405, A000108, A003161.
Sequence in context: A002645 A100268 A163790 this_sequence A109724 A127533 A023260
Adjacent sequences: A129120 A129121 A129122 this_sequence A129124 A129125 A129126
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KEYWORD
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nonn
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AUTHOR
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Mike Zabrocki (zabrocki(AT)mathstat.yorku.ca), Mar 29 2007
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