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Search: id:A084876
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| A084876 |
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Number of (k,m,n)-antichains of multisets with k=3 and m=4. |
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+0
1
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| 0, 0, 0, 310, 159300, 32389900, 4469327850, 503689260970, 50466655894200, 4701945998612200, 418104908350395750, 36055756736065208230, 3046399249526576159700, 253883533322134812268900
(list; graph; listen)
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OFFSET
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0,4
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COMMENT
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By a (k,m,n)-antichain of multisets we mean an m-antichain of k-bounded multisets on an n-set. A multiset is called k-bounded if every its element has the multiplicity not greater than k-1.
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LINKS
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Goran Kilibarda and Vladeta Jovovic, Antichains of Multisets, J. Integer Seqs., Vol. 7, 2004.
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FORMULA
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1/4!*(81^n - 12*54^n + 24*42^n + 4*36^n - 24*31^n + 6*27^n + 6*26^n - 36*18^n + 36*14^n + 11*9^n - 22*6^n + 6*3^n).
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CROSSREFS
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Cf. A016269, A047707, A051112-A051118, A084869-A084883.
Sequence in context: A051981 A115438 A134549 this_sequence A060339 A046016 A142005
Adjacent sequences: A084873 A084874 A084875 this_sequence A084877 A084878 A084879
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KEYWORD
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nonn
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AUTHOR
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Goran Kilibarda, Vladeta Jovovic (vladeta(AT)Eunet.yu), Jun 10 2003
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