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Search: id:A084875
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| A084875 |
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Number of (k,m,n)-antichains of multisets with k=3 and m=3. |
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1
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| 0, 0, 1, 350, 24025, 1061570, 38306701, 1238697950, 37547263825, 1093418309690, 31035659056501, 866306577308150, 23915774118612025, 655397866616830610, 17872808187862527901, 485794481046271815950, 13175146525408965630625
(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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1/3!*(27^n - 6*18^n+6*14^n+3*9^n - 6*6^n+2*3^n).
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CROSSREFS
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Cf. A016269, A047707, A051112-A051118, A084869-A084883.
Sequence in context: A109762 A074055 A108776 this_sequence A074203 A045126 A025385
Adjacent sequences: A084872 A084873 A084874 this_sequence A084876 A084877 A084878
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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.rs), Jun 10 2003
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