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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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0
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1, 3, 28, 701, 28156, 1105553, 38746288, 1242925421, 37586964436, 1093785614153, 31039025026648, 866337233127941, 23916052195646716, 655400382364459553, 17872830907936220608, 485794685997062639261, 13175148372787020760996
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| 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
| Goran Kilibarda and Vladeta Jovovic, Antichains of Multisets, J. Integer Seqs., Vol. 7, 2004.
Index to sequences with linear recurrences with constant coefficients, signature (77,-2277,32895,-242514,854388,-1102248)
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FORMULA
| (27^n - 6*18^n+6*14^n+9*9^n - 18*6^n+14*3^n)/3!.
G.f. ( 1-74*x+2074*x^2-27519*x^3+181764*x^4-514188*x^5 ) / ( (18*x-1)*(9*x-1)*(6*x-1)*(3*x-1)*(14*x-1)*(27*x-1) ). - R. J. Mathar, Jul 08 2011
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CROSSREFS
| Cf. A016269, A047707, A051112-A051118, A084869-A084883.
Sequence in context: A174483 A092985 A181588 * A110259 A015474 A053601
Adjacent sequences: A084877 A084878 A084879 * A084881 A084882 A084883
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KEYWORD
| nonn
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AUTHOR
| Goran Kilibarda, Vladeta Jovovic (vladeta(AT)eunet.rs), Jun 10 2003
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