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Search: id:A084880
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| A084880 |
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Number of (k,m,n)-multiantichains of multisets with k=3 and m=3. |
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1
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| 1, 3, 28, 701, 28156, 1105553, 38746288, 1242925421, 37586964436, 1093785614153, 31039025026648, 866337233127941, 23916052195646716, 655400382364459553, 17872830907936220608, 485794685997062639261, 13175148372787020760996
(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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1/3!*(27^n - 6*18^n+6*14^n+9*9^n - 18*6^n+14*3^n).
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CROSSREFS
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Cf. A016269, A047707, A051112-A051118, A084869-A084883.
Sequence in context: A062497 A056066 A092985 this_sequence A110259 A015474 A053601
Adjacent sequences: A084877 A084878 A084879 this_sequence A084881 A084882 A084883
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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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