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Search: id:A129130
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| A129130 |
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Number of triples of standard tableaux with the same shape of height less than or equal to three. |
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+0
1
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| 1, 1, 2, 10, 63, 531, 6201, 70477, 897149, 12772405, 188334604, 2939523104, 47902337803, 809518276503, 14134544880444, 252955559204532, 4651455689358657, 87356706437180529, 1669767921758484702
(list; graph; listen)
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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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sum_lambda f_lambda^3 where the sum is over lambda partitions of length less than or equal to 3 and f_lambda is the number of standard tableaux of shape lambda
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EXAMPLE
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f_111 = f_3 = 1, f_21 = 2 therefore a(3) = f_111^3 + f_21^3 + f_3^3 = 1+8+1 = 10
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CROSSREFS
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Cf. A001006, A005802, A003161.
Sequence in context: A107026 A107841 A141140 this_sequence A078531 A130721 A167449
Adjacent sequences: A129127 A129128 A129129 this_sequence A129131 A129132 A129133
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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 30 2007
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