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Search: id:A084877
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| A084877 |
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Number of (k,m,n)-antichains of multisets with k=3 and m=5. |
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+0
1
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| 0, 0, 0, 114, 649850, 678772108, 377819587984, 153135104560046, 51758494975477206, 15644366957608679376, 4400899140179858419388, 1180668574169021790713938, 306827161657039584492179842
(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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1/5!*(243^n - 20*162^n + 60*126^n + 20*108^n + 10*98^n - 120*93^n - 120*84^n + 10*81^n + 30*78^n + 120*77^n + 120*70^n - 120*63^n + 20*56^n - 120*54^n + 240*42^n + 40*36^n - 240*31^n + 35*27^n + 60*26^n - 210*18^n + 210*14^n + 50*9^n - 100*6^n + 24*3^n).
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CROSSREFS
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Cf. A016269, A047707, A051112-A051118, A084869-A084883.
Sequence in context: A108344 A162675 A112485 this_sequence A060309 A101111 A131603
Adjacent sequences: A084874 A084875 A084876 this_sequence A084878 A084879 A084880
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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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