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Search: id:A084881
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| A084881 |
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Number of (k,m,n)-multiantichains of multisets with k=3 and m=4. |
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+0
1
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| 1, 3, 39, 1873, 237531, 35640463, 4584906969, 507411694933, 50579357233311, 4705226804488123, 418198020376490949, 36058355701780773793, 3046470997266047282091, 253885499519508283406983
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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By a (k,m,n)-multiantichain of multisets we mean an m-multiantichain of k-bounded multisets on an n-set. The elements of a multiantichain could have the multiplicities greater than 1. 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+18*27^n+6*26^n - 108*18^n+108*14^n+83*9^n - 166*6^n+90*3^n).
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CROSSREFS
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Cf. A016269, A047707, A051112-A051118, A084869-A084883.
Adjacent sequences: A084878 A084879 A084880 this_sequence A084882 A084883 A084884
Sequence in context: A064732 A092610 A082159 this_sequence A015017 A076628 A097421
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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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